Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 748274: Find the equation of a parabola through each set of three points. You do NOT have to explain, please just give me your equation you got. I am just checking my answers :) . I appreciate you SOOO much for answering my questions. THANKS.
1. (1,5) (0,6) (2,3)
2. (-5,0) (0,0) (8,100)
3. (4,-4) (0,1) (3,-2)
4. (1,3) (6,0) (0,0)
5. (2,2) (5,-3) (0,-1)
6. (0,4) (4,0) (-4,4)
THANKS SOO SO SO MUCH! :)

Click here to see answer by Alan3354(69443) About Me 

Question 748293: Find the equation of a parabola through each set of three points. You do NOT have to explain, please just give me your equation you got. I am just checking my answers :) . I appreciate you SOOO much for answering my questions. THANKS.
1. (1,5) (0,6) (2,3)
2. (-5,0) (0,0) (8,100)
3. (4,-4) (0,1) (3,-2)
4. (1,3) (6,0) (0,0)
5. (2,2) (5,-3) (0,-1)
6. (0,4) (4,0) (-4,4)
THANKS SOO SO SO MUCH! :)




My answers:
1. y= -x^2 +6
2. y= 25/26x^2 + 125/26 + 0
3. y= -1/4x^2 -7/4x+1
4. y= -3/5x^2+ 18/5+0
5. -7/30x^2 + 23/30 -1
6. y= -1/8x^2 -1/2x+4

Click here to see answer by solver91311(24713) About Me 

Question 748581: Find the equation of the line that passes through (5,0) and has a slope of -2/3
Click here to see answer by MathLover1(20849) About Me 
Question 748581: Find the equation of the line that passes through (5,0) and has a slope of -2/3
Click here to see answer by Cromlix(4381) About Me 

Question 748652: SKETCH THE GRAPH of f(x)= (3(x^2-4))/x^2-1 give the X and Y INTERCEPTS and the HORIZONTAL and VERTICAL ASYMPTOTES.
Click here to see answer by stanbon(75887) About Me 

Question 748620: the straight line1 has an equation y=2x+3
the straight line2 is parallel to the straight line1
the straight line2 passes through the point (3,2)
Find the equation of the straight line2

Click here to see answer by Cromlix(4381) About Me 

Question 748741: Normal body temperature is 98.6 Fahrenheit. Write and inequality that describes the temperature t of people with below normal temperatures.
Click here to see answer by rfer(16322) About Me 
Question 748741: Normal body temperature is 98.6 Fahrenheit. Write and inequality that describes the temperature t of people with below normal temperatures.
Click here to see answer by stanbon(75887) About Me 

Question 748748: How do you graph the inequality y < |x|+ 5?
Click here to see answer by tommyt3rd(5050) About Me 

Question 748849: Sketch a graph of the inequality.
1.) 0 ≤ x + 9 < 17
2.) x - 4 < -12 or 2x ≥ 12

Click here to see answer by lwsshak3(11628) About Me 

Question 749093: What is the equation of the line that goes through the points (-1, 3) and (4, -7) in general form?
Click here to see answer by Cromlix(4381) About Me 

Question 748811: A line having a slope of 3/4 passes through the point (-8,4) Write the equation of this line in slope intercept form.
Click here to see answer by Cromlix(4381) About Me 

Question 749303: how do i solve these equations with graphing
y=x+2
y=x+4

Click here to see answer by josgarithmetic(39617) About Me 

Question 749828: How do i convert this hyperbola x^2-100y^2=100 into standard form?
Click here to see answer by josgarithmetic(39617) About Me 

Question 749831: How do i convert this hyperbola into standard form with these verticies (-6,0),(6,0) and focus of (-8,0),(8,0)
Also,how do i convert this to standard form with these verticies, (0,-12) and co-verticies,(-11,0),(11,0)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 750070: let a be a real number, let us translate the graph of the cubic function y=f%28x%29=x%5E3+%2B+alphax%5E2%2Bbx%2Bc .....{1)
so that the point (a,f(a)) on the graph (1) is translated into the origin (0,0), and express the function of the translated graph in terms of f'(a) and f"(a)
next we consder the translation which translates the point (a,f(a)) on the graph of (1) into the origin, we replace x with x+a and y with y+f(a) in (1), and obtain the expression
y=x%5E3f"%28alpha%29%2FA%2Ax%5E2+f'%28alpha%29x
As an example, consider the function f%28x%29=x%5E3-12x%5E2%2B48x-68....(2)
f'(4)=0 and f"(4)=0
we see that when we translate the graph of (2) so that the point (B,C) on the graph is moved to the origin, we get the graph of y=x%5E3
solve for [A] [B] and [C]

Click here to see answer by KMST(5328) About Me 

Question 750189: What is x<4
Click here to see answer by Alan3354(69443) About Me 

Question 750103: x^3
______ +1=
10
4
______
x
Can be written as x^4+ax+b=0 Find the values of a and b
I would once again like to request someone's help, and if the person can show the working of the solution I would really be grateful for it.

Click here to see answer by KMST(5328) About Me 

Question 750309: Graphf(x)=x^4, f(x)=-x^4, f(x)=x^4+5, f(x)=(x-5)^4, f(x)=3x^4, f(x)=1/3 x^4.
Click here to see answer by kibauu(44) About Me 

Question 750315: Please help me with the following problem:
Q/. Point (a,b) lies in the third quadrant on the graph of the equation y = 1/x. Find a and b given that the distance from poin (a,b) to the origin is sqrt%28257%29%2F4.
A/. y = 1/x ; b = 1/a ; a = 1/b
sqrt%28a%5E2+%2B+b%5E2%29+=+sqrt%28257%29%2F4
sqrt%28a%5E2+%2B+%281%2Fa%29%5E2%29+=+sqrt%28257%29%2F4
I'm stuck at solving for a....I tried to rearrange it as sqrt%28%28a%5E4+%2B+1%29%2Fa%5E2%29%29+=+sqrt%28257%29%2F4 but I don't know if this brings me any closer to the answer..
The textbook answer is a = -1/4, -4. Thanks..

Click here to see answer by rothauserc(4718) About Me 
Question 750315: Please help me with the following problem:
Q/. Point (a,b) lies in the third quadrant on the graph of the equation y = 1/x. Find a and b given that the distance from poin (a,b) to the origin is sqrt%28257%29%2F4.
A/. y = 1/x ; b = 1/a ; a = 1/b
sqrt%28a%5E2+%2B+b%5E2%29+=+sqrt%28257%29%2F4
sqrt%28a%5E2+%2B+%281%2Fa%29%5E2%29+=+sqrt%28257%29%2F4
I'm stuck at solving for a....I tried to rearrange it as sqrt%28%28a%5E4+%2B+1%29%2Fa%5E2%29%29+=+sqrt%28257%29%2F4 but I don't know if this brings me any closer to the answer..
The textbook answer is a = -1/4, -4. Thanks..

Click here to see answer by Alan3354(69443) About Me 

Question 750423: Write an equation through the points (7,-2) and (-6,6). Thank You!
Click here to see answer by MathLover1(20849) About Me 
Question 750423: Write an equation through the points (7,-2) and (-6,6). Thank You!
Click here to see answer by josmiceli(19441) About Me 

Question 750524: Find the x-intercept and y-intercept of the graph of the equation:
-4x + y = 0
Please help. I need to see steps.

Click here to see answer by stanbon(75887) About Me 

Question 750531: Solve for y:
6x + 3y = 24
Thank you in advance for your help with this.

Click here to see answer by stanbon(75887) About Me 

Question 750522: Find the x-intercept and y-intercept of the graph of the equation:
-2x + y = 4
please help with this I am having trouble. Thank you

Click here to see answer by josmiceli(19441) About Me 
Question 750522: Find the x-intercept and y-intercept of the graph of the equation:
-2x + y = 4
please help with this I am having trouble. Thank you

Click here to see answer by tommyt3rd(5050) About Me 

Question 750534: Identify the slope and the y-intercept of the equation:
y = - 5x + 4

Click here to see answer by stanbon(75887) About Me 

Question 750771: Please help me find the coordinates to graph -2x - y = -3 thank you
Click here to see answer by rfer(16322) About Me 

Question 750769: I need the coordinates of x+2y=6 I need to graph it
Click here to see answer by rfer(16322) About Me 

Question 750770: I need help finding the coordinates to graph -x - y = -8 and -3x + 4y =2
Click here to see answer by rothauserc(4718) About Me 

Question 750936: Use the distributive property to simplify the expression below:
-5x + 15 over -5

Click here to see answer by jim_thompson5910(35256) About Me 

Question 751028: find the equation of the straight line which makes intercepts 5 and 6 on x and y axes
Click here to see answer by lwsshak3(11628) About Me 

Question 751023: find the equation of the straight line which makes intercepts 5 and 6 on X and Y axes
Click here to see answer by Cromlix(4381) About Me 

Question 751022: find the equation of the straight line whose slope is -2 and y intercept is -5
Click here to see answer by Cromlix(4381) About Me 

Question 751110: 3y+8=7-4y
Click here to see answer by lenny460(1073) About Me 

Question 751189: Please help with these.
Determine whether each set of ordered pairs is a function.
1. (4,1)(3,2)(2,3)(1,8)
2. (1,3)(2,3)(3,3)(4,3)
3. (1,1)(2,2)(3,3)(4,4)
4. (2,1)(4,2)(5,3)(-2,4)
5. (8,1)(8,2)(8,3)(8,4)
6. (-2,-2)(0,0)(6,6)(-8,-8)
thank you for your help.

Click here to see answer by Edwin McCravy(20054) About Me 
Question 751189: Please help with these.
Determine whether each set of ordered pairs is a function.
1. (4,1)(3,2)(2,3)(1,8)
2. (1,3)(2,3)(3,3)(4,3)
3. (1,1)(2,2)(3,3)(4,4)
4. (2,1)(4,2)(5,3)(-2,4)
5. (8,1)(8,2)(8,3)(8,4)
6. (-2,-2)(0,0)(6,6)(-8,-8)
thank you for your help.

Click here to see answer by tommyt3rd(5050) About Me 

Question 751183: HELP PLEASE. I have to know which is a quadratic equation. Why and why not.
a)y=2x+5
b)y=2x^3+5y^2+3
c)y=2x^2 +5y+3
d)y=2x^3+5
Thank you so much for your help!

Click here to see answer by Edwin McCravy(20054) About Me 

Question 751211: Could you help please? I don't understand this.
"Factor each of the following into two trinomials"
1. x^2-3x+2
2. x^2+4x-32
3. x^2+6x+9
4. x^2+x-12
5. x^2-9x+14
Thank you so much for the help!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 751333: need help not sure what to do with this. Solve the following systems by graphing
x + 2y = 8
x - y =2

Click here to see answer by stanbon(75887) About Me 

Question 751334: F (x)=x^2-4x-12

Click here to see answer by jim_thompson5910(35256) About Me 

Question 751426: graph this equation: y= (1/3)^x -4 state domain&range
Click here to see answer by jim_thompson5910(35256) About Me 

Question 751484: Find x intercept, y intercept, determine symmetry for equation x^4 -25x^2 = y^3
Click here to see answer by stanbon(75887) About Me 

Question 751485: given: point Q(-2,3) midpoint M(-3,-1) point P(x,y)
Find coordinates of the point P using a formula, check with graph and then find y-coordinates equal to 1 that are a distance of sqrt 6 from the point Q

Click here to see answer by stanbon(75887) About Me 

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, 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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, 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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, 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