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

Tutors Answer Your Questions about Graphs (FREE)

Question 35909: find the vertex for the equation
y=-3(x-4)2(2 is an exponent)
Click here to see answer by venugopalramana(3286)

Question 36047: Find the vertex and focus of y=x^2+6x+7 and sketch it's graph.
Click here to see answer by venugopalramana(3286)

Question 36059: How do I work this equation, y= 1/x-2 if x= -2, -1, 0, 1, 2, 3?
Click here to see answer by Prithwis(166)

Question 36181: Find an equation for the line with slope 1/2 and y-intercept 3.
I came up with 2x-y=3. Is this correct?
Click here to see answer by Prithwis(166)

Question 36263: make y the subject of the formula:
ay+by=1
Click here to see answer by stanbon(57361)

Question 36262: Hi I have no clue how to do this........The problem is....Graph : y=-5x-5 and I don't know what to do frist
Click here to see answer by checkley71(8403)

Question 36296: What formula do I use to find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x-4?
I came up with the answer 2y=-3x+6 using y=x/2+K.
My Gradient is -3/2
y=-3/2x + 6/2
2y=-3x + 6.
Is this correct?
Thank you for your help.
Click here to see answer by stanbon(57361)

Question 36332:
find f^-1(x) if f(x) =2x-1
Click here to see answer by Nate(3500)

Question 36331: (1) find the x- intercepts of the graph of f(x) =2x^2-4x-4.

(2) find all the vertical asymptotes for g(x) = x^2-4/x+2

(3) find (x) if f(x) =3x-5 and g(x)x^2+1
Click here to see answer by Nate(3500)

Question 36340: I usually give the work that I've done to make sure I did it right, but in this case, I don't know where to begin. Here goes...
If f(x)=x^2 + 5, find f(a + h) - (a)
Thank you.
Click here to see answer by ilana(307)

Question 36327: (1) find the midpoint of the line segment with endpoints of (-3, -4) and (6-9)
Mid point = -3+6/2 and -4-9/2
= 3/2 and -13/2 are the midpoints
(2) find the slope of the line passing through (-3,-4) and (6,-9).
Slope of the line through the two point
slope = y2-y1 / x2-x1
= -9+4/6+3
= -5/9

(3) write the slope intercept form of the equation of the line through (-2,3) that is perpendicular to the line x+3y=4.
Click here to see answer by ilana(307)

Question 36371: Can someone tell me how to create a graph? I have no clue how to even set one up. I need to graph the inequalities.
Thank you,
Brenda :)
Click here to see answer by kirubakaran(5)

Question 36465: Can someone show me how to work this out and what the graph would look like
f(x)=x^2+2
thanks
Click here to see answer by cininnatus(12)

Question 36409: Can anyone show me what the graph would look like for
3x-4y=-12
thanks!!
Click here to see answer by rapaljer(4667)

Question 36491: graph the function and state the domain and range.
24. y=x-2
Click here to see answer by rapaljer(4667)

Question 36489: graph the function and state the domain and range.
28. y=sqrt x-2
Click here to see answer by cininnatus(12)

Question 36531: 4) Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Answer:
Show work in this space.

Click here to see answer by checkley71(8403)

Question 36559: I have a graph of f(x) and I have to translate it to
I know that the 2 makes it move left 2, and the 6 makes it move up 6, and I know that the 1/2 makes it shrink by half, but I just don't understand how to make it shrink. Can you please help me?
Thanks,
Jamie :)
Click here to see answer by stanbon(57361)

Question 36530: Suppose you throw a baseball straight up at a velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
Answer:

b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.
c) How long will it take to hit the ground?
Answer:
Show work in this space.

d) What is the maximum height of the ball?
Answer:
Show work in this space.
Click here to see answer by venugopalramana(3286)

Question 36769: PLEASE HELP ME ASAP!!!!!!!!!
WHAT WOULD THE GRAPH LOOK LIKE FOR THE FOLLOWING PROBLEM:
5X-2Y>0
CAN ANYONE HELP ME WITH THIS? I'VE POSTED THIS PROBLEM 2 TIMES ALREADY AND I HAVEN'T HAD ANY HELP ON IT.
THANKS!
Click here to see answer by cininnatus(12)

Question 36850: How do you graph |x|<3 on a number line?

Click here to see answer by martinr(6)

Question 36850: How do you graph |x|<3 on a number line?

Click here to see answer by oxoxhazleyesoxox(1)

Question 36868: -6x+9>3
what does the graph look like for this?
Click here to see answer by martinr(6)

Question 36879: Sue has $3.50 of dimes and nickels. If she has 50 coins, how many of each type of coin does she have?
Click here to see answer by checkley71(8403)

Question 36904: Solve each system by the substitution method.
4x-5y=-2
3y-x=-3
----------------------------
4x+5y=-2
4y-x=11
------------------------------
2x+y=9
2x-5y=15
----------------------------------
3y-x=0
x-4y=-2
Click here to see answer by checkley71(8403)

Question 36875: Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is consistent or dependent.
x + 5y = 10
-2x-10y=-10
Click here to see answer by venugopalramana(3286)

Question 36874: Find values for m and b in the following system so that the solution to the system is (-3,4).
5x + 7y = b
and
mx + y = 22
Click here to see answer by venugopalramana(3286)

Question 37115: Please help me out with this one! I've been stuck on it for a while now. Please show all work. I would greatly appreciate any help.

A)Find the equation for the axis of symmetry.
B)Find the coordinates of the vertex.
Click here to see answer by josmiceli(9686)

Question 37172: Write an equations in slope-intercept form of the line satisfying the given conditions.
Passes through (5,4) and (6,-1)
and
slope= 1/3 and passes through (-2,8)
and last question of the day, parralel to the graph of 9x+ 3y=6.
Please email me if you get the answer to any of these. Thanks again.
Click here to see answer by checkley71(8403)

Question 37190: Write an equation in slope intercepth form of the line satisfying the given conditions. Please explain how you got your anwer. Thank You.
Parallel to the graph of 9x+3y=6 and passes through (5,3)
Click here to see answer by ilana(307)

Question 37228: Where on the graph of 3x-y = 12 are the x and y coordinates opposites of each other?
I started out by y = mx + b and changed the equation to y = 3x - 12 but i am stuck from there
Click here to see answer by jcmtnez(53)

Question 37357: Write an equation in standard form of the line satisfying the given conditions.
#1. Passes through (1,-4) and (-6,8).
#2. Passes through (7,-3) and has a y-intercept of 2.
please explain how you got the answers to these problems. Thank You.
Click here to see answer by venugopalramana(3286)

Question 37364: Solve the following system by graphing.
2x - y = 4
2x - y = 6
Click here to see answer by fractalier(2101)

Question 37359: Please help i have no clue how to do either of these problems.
Given f(x)=x^2+3x-2, find f(2)
and Given h(x)=4x+8, find 4[h(-3/4)].
Thanks for the help, and please explain how to do these problems.
Click here to see answer by fractalier(2101)

Question 37358: Please help i have no clue how to do either of these problems.
Given f(x)=x^2+3x-2, find f(2)
and Given h(x)=4x+8, find 4[h(-3/4)].
Thanks for the help, and please explain how to do these problems.
Click here to see answer by fractalier(2101)

Question 37273: Solve each of the following systems by substitution.
4x – 12y = 5
-x + 3y = -1
Click here to see answer by fractalier(2101)

Question 37399: There is no book for this problem. This is a problem asked by the professor. Please help.
1) An open-top box is to be constructed from a 4 by 6 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer:

b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here.

c) Using the graph, what is the value of x that will produce the maximum volume?
Answer.
Click here to see answer by fractalier(2101)

Question 37362: What is the situation when two linear inequalities have no solution? And what conditions need to be satisfied for a system of linear inequalities to have its solution in the first quadrant?
Thank You :)
Click here to see answer by fractalier(2101)

Question 37361: Is there a difference between solving a system of equations by the algebaraic method and the graphical method?
Thank you!:)
Click here to see answer by fractalier(2101)

Question 37417: The Graphs of ax+by=13 and ax-by=-3 instersect at (1,4). Find a and b.
Click here to see answer by fractalier(2101)

Question 37417: The Graphs of ax+by=13 and ax-by=-3 instersect at (1,4). Find a and b.
Click here to see answer by ilana(307)

Question 37493: Need help with the following:

Determine whether the graph of y = |x| + 1 is symmetric with respect to the x-axis, the y-axis, or the origin (or none).
Click here to see answer by venugopalramana(3286)

Question 37526: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
Click here to see answer by fractalier(2101)

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