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

Tutors Answer Your Questions about Graphs (FREE)

Question 950222: x+3y>=-2
Click here to see answer by Alan3354(69443)

Question 950253: The graph of the function g is formed by applying the transformation listed below, in the given order, to the function f(x)=sqrt(x). Find an equation for the function g, and sketch the graph of g.
- Shift to the right by 3 units
- Vertical stretch by 2 units
- Reflection with respect to the x-axis
My answer:
f(x)=sqrt(x)
shift right 3 units gives
g(x)=sqrt(x-3)
Vertical Stretch by 2 units gives
g(x)=2sqrt(x-3)
Reflection at the x-axis
g(x)=-2sqrt(x-3)
Sketch g(x)=-2sqrt(x-3)
Is this correct? Is there a different way of finding an equation? Thanks in advance.

Click here to see answer by jhaashok630(18)

Question 950538: m=3,(4,2)
m=1/4,(-8,6)
m=0,(-8,-7)
Write an equation In Slope-Intercept in form
Click here to see answer by MathLover1(20849)

Question 950116: How to left where the graph is coming from?
P(x)=x(x^2-4)
I know the y-int is (0,0
and x-int is (2,0),(-2,0)
How do i know if the graph is coming from the bottom from the left/right or from the top left/right?
Please help me understand
Thank you!
Click here to see answer by Fombitz(32388)

Question 951048: graphs of quadratic functions f ( x ) has a minimum point and intersects the x-axis at 4 and m . If the symmetry axis of the graph is x = 5 , the value of m and the next state function f ( x )
Click here to see answer by Fombitz(32388)

Question 951170: I need to now how to determine if an equation's line is parallel, perpendicular or neither. I have to do it without he use of a graph. I know how to determine if it is parallel because the slopes are the same and I have some understanding that perpendicular lines having opposite reciprocals. My question is, how do I tell the difference between a reciprocal and an opposite reciprocal.
Click here to see answer by stanbon(75887)

Question 951469: 1/5(10x+5)<1/7(7x+21)
Click here to see answer by rfer(16322)

Question 951483: -4(x-4)-2x>-(3x+8)+5x
Click here to see answer by stanbon(75887)

Question 951483: -4(x-4)-2x>-(3x+8)+5x
Click here to see answer by lwsshak3(11628)

Question 951548: This is a graph question. In equation x=2 the x-coordinates are always __________?

Click here to see answer by greg98(5)

Question 951683: I need help graphing the inequality x+10/x+2-3less than 0
Click here to see answer by stanbon(75887)

Question 951679: i have to graph this system of inequalities (also says to shade each half-plane solution, dont know what this means).. Any help would be awesome.
y<3/2x+3
2x+y<10
y>-1
Click here to see answer by stanbon(75887)

Question 952039: A. Put the equation into slope intercept form.
B. Identify the slope and y intercept
C. Graph the line

3X+Y=2
Click here to see answer by macston(5194)

Question 952340: 3x-y=1
y=2
Click here to see answer by Alan3354(69443)

Question 952444: Given: x - 6 ≤ 1.
Choose the solution set.
{x | x R, x ≤ 7 5/6}
{x | x R, x ≤ 7 2/5}
{x | x R, x ≤ 5 1/6}
Click here to see answer by MathLover1(20849)

Question 952527: Hi my name is jayda and I need help with this problem solving equations with variables on both sides 2x+0.24=0.5(2x-1.5)
Click here to see answer by fcabanski(1391)

Question 948564: Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.

y < 4x - 4
Click here to see answer by EdenWolf(517)

Question 948493: Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.

1/3x - y >= 1
Click here to see answer by EdenWolf(517)

Question 946880: Solve the system using substitution. Make sure to show/explain your steps in order to receive full credit.

y = 2x - 9
x + 3y = 8
Click here to see answer by EdenWolf(517)

Question 947975: Solve the system using elimination.

4x - 5y = 11
6x + 7y = 31

A. (-2, 2)
B. (10, 2)
C. (4, -5)
D. (4, 1)
Click here to see answer by EdenWolf(517)

Question 948566: Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.

1/3x - y >= 1
Click here to see answer by EdenWolf(517)

Question 948492: Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.

y < 4x - 4
Click here to see answer by EdenWolf(517)

Question 947976: Solve the system by graphing.

y >=-3x + 2
y < 2x + 2
Click here to see answer by EdenWolf(517)

Question 952761: write y=0.8x+25 in standard form
Click here to see answer by MathLover1(20849)

Question 952804: (Y-5)-(y+6)=7y
Click here to see answer by MathLover1(20849)

Question 952942: Please help me write ( 0, -2) in form of y=mx + c
Click here to see answer by stanbon(75887)

Question 952963: I don't know how to do 2-step inequalities please
Click here to see answer by stanbon(75887)

Question 953082: A projectile is fired straight upward from the ground with an initial speed of 96 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t2 + 96t
Find the maximum height of the projectile.
Click here to see answer by Alan3354(69443)

Question 953080: Find the vertex for the parabola given below.

f(x) = 3x� + 12x + 16
Click here to see answer by Alan3354(69443)

Question 953079: Identify the axis of symmetry.

f(x) = x2 + 10x + 9
Click here to see answer by Alan3354(69443)

Question 953079: Identify the axis of symmetry.

f(x) = x2 + 10x + 9
Click here to see answer by KMST(5328)

Question 953382: Solve y-2/1-x =3
Click here to see answer by Fombitz(32388)

Question 953495: Line s has equation y=2x+2014. Line m has slope −1 and the same x-intercept as line s.
a) Find the y-intercept of line "m"
b) Write the equation of line "m"
Click here to see answer by MathLover1(20849)

Question 953497: Line n has equation y=−1/2 x+10. Line k has equation y=2x. Find the point of intersection of line n and line k.
Click here to see answer by macston(5194)

Question 953496: Line s has equation y=2x+2014. Line k is parallel to line s but goes through the origin. Write its equation.
Click here to see answer by MathLover1(20849)

Question 953827: Given the points (2,6) and (-4,10) found on line AB; find the slope-intercept form of this line AB.
Click here to see answer by stanbon(75887)

Question 953826: Given f(x)=2(x-1)^2, evaluate:
a) f(-3)
b) f(a+2)
Click here to see answer by MathLover1(20849)

Question 953955:
Click here to see answer by rfer(16322)

Question 953955:
Click here to see answer by Alan3354(69443)

Question 954029: Choose the correct slope of the line that passes through the points (-4, 8) and (-3, -6)
Click here to see answer by josgarithmetic(39617)

Question 953930: Someone please help me with that. Graph the function f(x)= -2/7((x-7)^1)^7 +5.

Click here to see answer by Fombitz(32388)

Question 954143: Someone please help me with this. The graph of h is given. Use it to graph each of the following functions.
a) y=h(3x)
b) y=h(1/3x)
Click here to see answer by Fombitz(32388)

Question 954720: y= 1/4x - 3; (-8, ) , ( , 1)
Thanks in advanced!
Click here to see answer by macston(5194)

Question 955026: Find the equation of the line perpendicular to 5x-2y=10 that goes through (10,8) in slope intercept form.
Click here to see answer by Fombitz(32388)

Question 955031: Find a way to prove the Pythagorean Theorem
Click here to see answer by EdenWolf(517)

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