Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 827446: Hi! :)
I'm having a little trouble with a few questions, and FOILing. I have to convert each equation from vertex form to standard form.
1. y=(x-3)�+1
2. y=2(x-1)�-3
3. y=-3(x+4)�+1
Thanks! C:
~ Cella
Click here to see answer by stanbon(75887)

Question 827896: x-28=-16
Click here to see answer by MathLover1(20849)

Question 828144: Solve
a) x^4 - 29x^2 + 100 = 0
Thank you so much in advance:)
Click here to see answer by KMST(5328)

Question 828226: One number is three more than a second number. Forty-nine more than the product of the two numbers is 89. Find the numbers.
Click here to see answer by Seutip(231)

Question 828225: What positive number exceeds one-fourth of its square by a maximum amount?
Click here to see answer by jsmallt9(3758)

Question 828224: The perimeter of a rectangular flower garden is 46 m. Find its maximum area.

Click here to see answer by jsmallt9(3758)

Question 828224: The perimeter of a rectangular flower garden is 46 m. Find its maximum area.

Click here to see answer by richwmiller(17219)

Question 828362: Hi,
So I missed my Pre-Ap Algebra II class, and I was wondering how I would be able to find a quadratic function that includes each set of Values.
So, the question that I was working on gave me three points, which are (1,-2),(2,-2), and (3,-4).
I did look in the textbook, and I attempted to try each. This is what I have so far.
*y=ax^2+bx=c
-2=A(-1)^2+b(1)+c
-2=a+b+c
*y=ax^2+bx=c
-2=a(2)^2+b(2)+c
-2=4a+2b+c
*y=ax^2+bx=c
-4=a(3)^2=b(3)=c
-4=9a+3b+c
So thats what I have so far, but in the example i noticed it said "use one of the methods in chap.3" and solve. Im not sure what to do after all of that from above. I just want to know which way is the easiest and will help me with my following homework problems. I was also wondering if there was any way to check it to make sure my answer will be right with this and the upcoming problems that I have to solve.
Thank you so much for your time and help
Click here to see answer by josgarithmetic(39617)

Question 828397: A rectangular backyard has an area of 2x^2-13x-24^m2. Factor to find possible expressions to represent the length and the width.
If I am satisfied with the answer and service I will register a tutor for weekly help for my son
Click here to see answer by Seutip(231)

Question 828484: 3. A triangular window has an area of 6x�- 3.5x - 5 centimeter squared. Using what you know about the formula for area of a triangle and by factoring, find possible expressions to represent the base length and height.
Click here to see answer by mananth(16946)

Question 829331: H(x)=x^3-4x^2 h(-2)=? H(1)=? H(-1)=?
Click here to see answer by Fombitz(32388)

Question 829624: the length of a rectangle is three more than twice the width determine the dimensions that will give a total area of 27m^2
please help,i'm completely stuck
Click here to see answer by lwsshak3(11628)

Question 829633: the height in feet of a bottle rocket is given by h(t)=160t-t2 where t is the time in seconds. How long will it take for the rocket to return to the ground?
thanks

Click here to see answer by Alan3354(69443)

Question 829661: Please help me solve this equation:
The product of two consecutive odd integers is equal to 30 more than the first. Find the integers.
Thank you!
Click here to see answer by TimothyLamb(4379)

Question 829658: Please help me solve this equation:
The height of a triangular window is 3 feet less than its base. If the area of the window is 20 square feet, find the dimensions of the window.
Thank you!
Click here to see answer by Alan3354(69443)

Question 829732: Solve x^2 - 5x - 1 = 0 using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth.
Click here to see answer by TimothyLamb(4379)

Question 829804: Solve 2x2 − 3x − 5 = 0 by factoring
Click here to see answer by josgarithmetic(39617)

Question 829838: Use the equation x^2+6x+c=0
A) Find a value of c that results in two real roots.
B) Find a value of c that results in one real root.
C) Find a value of c that results in two complex roots.
Click here to see answer by TimothyLamb(4379)

Question 830051: Write the equation of a parabola with a vertex of (-2,-3) and contains the point (1,2)
Click here to see answer by stanbon(75887)

Question 829989: solve the equation by factoring
8x^2 +10x-7 = 0
Click here to see answer by LinnW(1048)

Question 829988: Use factoring to solve the following quadratic equation
x(5x+2) = 2x^ 2 -6x+16
Click here to see answer by LinnW(1048)

Question 830207: How do I solve h(t)=-16t^2+80t.
Click here to see answer by stanbon(75887)

Question 830230: please help me solve this question!!! and please show work
a projectile is shot at an angle from a machine that is 48 feet above the ground.the projectile has an initial upward speed of 32 ft/s and it represented by a function f(x)=-16x^2+32x+48, where x represents the time in seconds and f represents the height of the projectile in feet at any given time.what is the y - intercept of the graph?
Click here to see answer by TimothyLamb(4379)

Question 830273: graph the functin y=36/x,assuming that x and y can take positive value only
Click here to see answer by Fombitz(32388)

Question 830360: solve the area formula for a circle, A=nr^2, for r^2
Click here to see answer by Fombitz(32388)

Question 830372: How do you find the vertext of y=(x-5)(x+1)?
Click here to see answer by stanbon(75887)

Question 830385: What is the vertex of y=(2x-3)(2x+1). I'm confused on what to do when there's a number in front of the x
Click here to see answer by josgarithmetic(39617)

Question 830385: What is the vertex of y=(2x-3)(2x+1). I'm confused on what to do when there's a number in front of the x
Click here to see answer by MathTherapy(10551)

Question 830757: x^2+12x+35=0
Click here to see answer by Fombitz(32388)

Question 830049: How would you solve this ?
-2(2x-4)^2-9=-15

Click here to see answer by Fombitz(32388)

Question 831162: A wire that is 32 cm long is cut into two pieces, and each piece is bent to form a square.The total area enclosed by the two squares is 34 cm^.Find the length of each piece of wire.
Click here to see answer by richwmiller(17219)

Question 831160: For which values of k does the equation x^-(4k+2)x+7k+2=0 form a perfect square ?
Click here to see answer by josgarithmetic(39617)

Question 831305: Find the value(s) of k for which the equation 3x^2-(k+1)x+k-2=0 has one real double root
Click here to see answer by reviewermath(1029)

Question 831216: what is the equation for a parabola that has the same shape a y=x^2 but has an axis of symmetry of x=2 and opens downward?
Click here to see answer by josmiceli(19441)

Question 830448: Write the discriminant of rx^2+sx+t=0
Click here to see answer by Fombitz(32388)

Question 831159: For which values of m does the equation 2x^+2x+m+4=0 have
a.two real solutions ?
b.one solution ?
c.no real solution ?

Click here to see answer by Fombitz(32388)

Question 831161: The longest side of a right triangle is 6cm less than twice the length of the medium side.The shortest side is 6cm.Find the length of the two other sides.
Click here to see answer by Fombitz(32388)

Question 831559: parabola equation through (1,-2) (2,-4) (3,-4)in y=ax^2+bx+c
(1,1) (-1,-3) (-3,1)
(-2,9) (-4,5) (1,0)
(-1,17) (1,17) (2,8)
determine if quadratic model exsist if so then write a model
f(-2)=16 f(0)=0 f(1)=4
Click here to see answer by TimothyLamb(4379)

Question 831792: A ball is thrown into the air from a bridge that is 15 m above a river. The function that models the height, h(t), in metres , of the ball over time,t, in seconds is : h(t)=-4.9t^2+9t+15
When is the ball 17m above the water?
Click here to see answer by richwmiller(17219)

Question 831817: I am stuck on this problem can you help me 3 more than the product of 17 and x
Click here to see answer by LinnW(1048)

Question 831817: I am stuck on this problem can you help me 3 more than the product of 17 and x
Click here to see answer by richwmiller(17219)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240