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

Tutors Answer Your Questions about Graphs (FREE)

Question 35459: Please help. I go to college online and I have to submit this answer by Sat. night.Heres the question:
x -2 -1 0 1 2
y .0625 .25 1 4 16
Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
Graph:

Graph Type:
Explanation:
Domain:
Range:

Click here to see answer by Nate(3500)

Question 35420: I need to solve the equation 4x + y > 4 then determine the half plane which I would show on the graph. I am lost at how to do this.
Click here to see answer by Nate(3500)

Question 35363: how do u solve
(o,1)(3,-8)
into a y-intercept equation?
Click here to see answer by checkley71(8403)

Question 35472: I need help with this too, Please:
Find the vertices, the endpoints of the minor axis, and foci of the given ellipse, and sketch it's graph:
(x+5) squared + 4(y-4) squared = 16
Click here to see answer by Nate(3500)

Question 35469: I need help with this too, Please:
Find the vertices, the endpoints of the minor axis, and foci of the given ellipse, and sketch it's graph:
4x squared + y squared - 8y + 4y + 4 = 0
Click here to see answer by Nate(3500)

Question 35468: I need help with this too, Please:
Find the vertex, focus, and directrix of the given parabloa and sketch it's graph:
Find the equation of the parabloa that has it's vertex at (2,-3) and it's focus at (2,-5).
Click here to see answer by Nate(3500)

Question 35474: 3) It is approximately 480 miles from Los Angeles, California, to San Francisco, California. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) Write a linear function that expresses the distance traveled, d, as a function of time, t.
Answer:

b) How far have you traveled after 4 hours?
Answer:
Show work in this space.

c) Write a linear function that expresses the distance to be traveled to reach San Francisco, s, as a function of time, t.
Answer:
Show work in this space.

d) How far will I need to travel to reach San Francisco after I have traveled 3 hours?
Answer:
Show work in this space:
Click here to see answer by Nate(3500)

Question 35475: For the function, y=1/(x-2)
a) Give the y values for x = -2, -1, 0, 1, 2, 3.
Answer:
Show work in this space.

b) Using these points, draw a curve.
Show graph here.
Click here to see answer by Nate(3500)

Question 35466: Can anyone help me with this?
Find the vertex, focus, and directrix of the given parabola and sketch it's graph:
y squared = - 16x
Click here to see answer by rapaljer(4671)

Question 35479: Anyone know how to graph this?
2x^2 + 2y^2 -12x + 8y -24 = 0
Click here to see answer by rapaljer(4671)

Question 35478: Anyone know this?
Graph the system and solve the system by substitution or elimination.
3x - y = -2
2x^2 - y = 0
these are both inside one large parenthesis, but I don't know how to draw it.
Click here to see answer by rapaljer(4671)

Question 35477: Can you help me?
Find the vertices, the foci, and the equation of the asymptotes, and sketch the hyperbola:
4x^2 -y^2 -24x -4y +16 =0
Click here to see answer by venugopalramana(3286)

Question 35506: Can someone please help me understand graph's before my final next week.
I have 2 questions.
1) It shows a graph given by a quadratic function of the form
f(x)=ax^2, which of these 3 functions matches. The graph shows
a staight line going thru Y at (-2,2) & (2,2)
A)f(x)=2x^2
B)f(x)=3x^2
C)f(x)=1/2x^2
____________________________________
2) It shows a graph is froma quadratic function of the form
f(x)=(x-h)^2 with a symmetry x=-3 and vertex (-3,0). Which
of these 3 matches.
A)f(x)=(x-3)^2
B)f(x)=(x+3)^2
C)f(x)=(x+2)^2
Thanks for all your help

Click here to see answer by rapaljer(4671)

Question 35513: 1. ax + by = c Solve for x.
2. Four less nine times a number is one hundred twenty-two. Find the original number.

Click here to see answer by Nate(3500)

Question 35510: I have the answer, I just need to know how to graph the answer that I have. I have tried to make the graph several times, but it is not working out correctly. Here is the whole question and then the answer I have for the first part, and the second part of the question is the graph.
For the function,
Give the y values for x = -2, -1, 0, 1, 2, 3.
Answer: y=1/(x-2)
(-2,-.25),(-1,-.333333),(0,-.5),(1,-1),(2,undefined)

Using these points, draw a curve.
Show graph here.
Click here to see answer by venugopalramana(3286)

Question 35282: y+x=3
y+3x=-1
can you solve these linear equations by graphing?
can you solve these linear equations by substitution?
can you solve these linear equations by addition?
Click here to see answer by elima(1433)

Question 35527: I hope that I have this in the right category. My sons teacher made a work sheet for his class to do, it has to do with graphing. In one section it says to write a rule for the translation and the first problem says left 1 unit, down 3 units. We don't understand what she is talking about. If you could please explain so that he can do the other two problems by himself, we would greatly appreciate it.
Click here to see answer by narayaba(40)

Question 35571: graph the solution set of the system of inequalities:
{x^2 + y less than or equal to 25}
{y less than or equal to x^2 + 2}
i get as far as y=mx+b
y=-x^2+25
y=x^2+2
Click here to see answer by prabhjyot(165)

Question 35590: Write the letter corresponding to the two equations that represent perpendicular lines.

(A) y = 3x � 4
(B) y = 1/3x + 4
(C) y = �1/3x + 4
(D) y = 1/3x � 4

Click here to see answer by stanbon(75887)

Question 35592: Find the slope of any line parallel to the line through points (14, 1) and (1, 2).

Click here to see answer by Nate(3500)

Question 35596: Write the letter corresponding to the equation of the line with x-intercept (�9, 0) and undefined slope.

A) y = �9x

B) y = �9

C) x = 0

D) x = �9

Click here to see answer by Nate(3500)

Question 35588: Write the letter corresponding to the slope of the line passing through the points (�8, 8) and (7, 8).
A) 15

B) 0

C) Undefined

D) 1

Click here to see answer by Nate(3500)

Question 34108: 23. Plot points with coordinates (2, 3), (3, 4), and (4, 5) on the given graph. What do you
observe? Can you give the coordinates of another point with the same property?

Click here to see answer by venugopalramana(3286)

Question 35660: Which system(s)of equations has no solution?
1. y = 3x - 1 and y = 3x + 1
2.x + y = 1 and y = -x + 3
3. y = 1.5x - 2 and y = 3/2 X + 2
4. 2X + Y = 4X + 2
Click here to see answer by benni1013(206)

Question 35736: find an equation for a circle satisfying the given conditions
center(6,-5) passes through (1,7)
Click here to see answer by rapaljer(4671)

Question 35737: Debit-card transactions. The total volume (in US dollars) of debit card transactions was $8.2 billion in 1990. In 1999, the total was $157.9 billion. Find the average rate of change in total debit card transactions from 1990 to 1999.
Click here to see answer by checkley71(8403)

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(75887)

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(75887)

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(4671)

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