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

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Question 47648: Give the equation of the function whose graph is describe.
The graph of y=x^2 is shifted 4 units to the right. this graph is then vertically stretched by a factor of 5 and reflected across the x-axis.Finally the graph is shifted 8 units upward.
Click here to see answer by josmiceli(19441)

Question 47647: Give the equation of the function whose graph is describe.
the graph of y=x^2 is shifted 4 units to the left. This graph is then vertically stretched by a factor of 5 and reflected across the x-axis. finally the graph is shifted 7 units downward.
Help please
Click here to see answer by Nate(3500)

Question 47641: I have a problem that states, "use the graph to find solutions to the equation" and the graph shows an up-side-down U shape. Then the equation is
-x�+2=-2
I don't know where to begin? How do I go about solving this? What topic is this that I could research and learn so that I can do other problems like this?
THANK YOU!!!
Click here to see answer by checkley71(8403)

Question 47730: Find the exponential function f(x) = a^x and it gives a graph that is descending with points passing through (-3,8) and (1,1).
I have f(-3) = a^-3 = 8, a = 1/2 so f(x) = 1/2 ^-x.
This doesn't seem correct, can you help?
Thank you so much!!
Click here to see answer by venugopalramana(3286)

Question 47733: Graph the function, not by plotting points, but by starting from the graphs in Figure 4. State the domain, range, and asymptote.
f(x) = 1 - 2^-x
I used the graph of y=2^x, reflected about the y-axis, then shift upward 1 unit. As usual, it doesn't look right, even if I turn it upside down.
Thank you Thank you Thank you!
Click here to see answer by stanbon(75887)

Question 47735: Graph the function, not by plotting points, but by starting from the graph of y = e^x. State the domain, range, and asymptote.
y = e^(x+3) + 4
Shift down 4 units?
Thanks for helping me. I feel so stupid when it comes to math, but you all are showing me the right steps to learn it!
Click here to see answer by josmiceli(19441)

Question 47805: can some one tell me if this is correct? the question asks to describe the symmetry of the function:

y = x^3 + 1
is the symmetry with respect to the y axis??....if not can you tell me how to describe it please? thanks!
Click here to see answer by Nate(3500)

Question 47734: Graph the function, not by plotting points, but by starting from the graph of y = e^x. State the domain, range, and asymptote.
y = 1- e^x
I tried graphing these on the computer but it won't take these exponents so I'm at a loss although I know that there is some shifting involved with the first constant.
Thank you so very much for this help!
Click here to see answer by longjonsilver(2297)

Question 47836: Find the x intercept

-x^2 + 6x - 2
Thanks!
Click here to see answer by venugopalramana(3286)

Question 47835: Find the x intercept

y = x^2 - 5x + 3
Thank You
Click here to see answer by venugopalramana(3286)

Question 47860: graph x^2+y^2+8x-24y+16=0 If you could please show me how to work the problem so I can find the coordinates and the radius it would be greatly appreciated.
Thank you
Click here to see answer by stanbon(75887)

Question 47857: Hi can someone help show me how this equation will look when graphed?
"sketch the following graph"

Click here to see answer by Nate(3500)

Question 47857: Hi can someone help show me how this equation will look when graphed?
"sketch the following graph"

Click here to see answer by stanbon(75887)

Question 47856: CAN SOMEONE HELP!!!
the question says to sketch the following graph:
y=
{-2.......for x<-1
{x........for
{0........for
Click here to see answer by Nate(3500)

Question 47868: I know the slope of the given points (4,1), (-6,3) is -1/5. When graphed does this line rise or fall?
Click here to see answer by stanbon(75887)

Question 47969: How do you graph the linear equation x-3y=6?
Click here to see answer by checkley71(8403)

Question 47977: I don't understand how you can graph the lines 6y=2x+12 and 6x=2y-8 on a coordinate plane. Can someone please help me?
Click here to see answer by stanbon(75887)

Question 47977: I don't understand how you can graph the lines 6y=2x+12 and 6x=2y-8 on a coordinate plane. Can someone please help me?
Click here to see answer by tutorcecilia(2152)

Question 48007: solve and graph the solution set of the following inequality on a number line. I tried to use one of the solvers to make a number line and I cannot get it to work with this equation and putting it on the number line. Can someone please help
3x ≥ 2x-4
Click here to see answer by stanbon(75887)

Question 48009: solve and graph the solution set for the following inequality
7(x-3)>5x-14
I tried using a graph solver and do not know how to put the info in there to help graph. Can someone please help?
Click here to see answer by stanbon(75887)

Question 48010: Could someone please tell me a "real life" situation where a straight line graph might be applicable snd why you think it may be true
what about a "real life" situation that follows a linear equation, with the independent variable being years. What would the slope tell you about future years?
I have had practice solving equations with one variable and equations with two variables. How are those kind of problems alike, how are they different and what if an equation had 3 variables?
My chapter 7 is an introduction to graphing so I am trying to piece it together
Thanks
Click here to see answer by stanbon(75887)

Question 48017: How do you find a slope of a graphed line?
Click here to see answer by longjonsilver(2297)

Question 48045: 1)y=-3x^2
2)y=x^2+6x+9
Click here to see answer by tutorcecilia(2152)

Question 48034: find a and b so that the graph x/a + y/b=1 passes through (3,-2)and(9,2).

Click here to see answer by stanbon(75887)

Question 48037: I need help in solving this problem can someone please help me.

Solve:
3x-5x= 2
7 3 21

Click here to see answer by adamchapman(301)

Question 48069: I have tried over and over to solve and graph this problem I don't know what Iam doing wrong, can some one please show me how to graph this.

These data represent the number of students attending a high school.
Year Number of Students
1985 212
1986 295
1987 352
1988 401
1989 473
1990 519
1991 602
(a) Draw a line graph for the data.
(b) Use the line graph to predict how many students enrolled in 1992.

Click here to see answer by stanbon(75887)

Question 48124: I cannot seem to figure out how would i graph a line that has a slope of -2 and a y intercept of 0,0.
Click here to see answer by tutorcecilia(2152)

Question 48128: If the teacher wants us to find a slope of a graph but there are no points on the graph how do I find the slope?
Click here to see answer by tutorcecilia(2152)

Question 48156: the lesson is called solving equations with grouping symbols. the problem is y-2=1/3(y+6)
Click here to see answer by Earlsdon(6294)

Question 48193: Can anhone help me with this one? I can only graph something in the y=mx+b formula, but I need yo graph x = y^2-1.

Can anyone convert this to the y=mx+b type of formula?
Click here to see answer by jake_6233(74)

Question 48236: Can anyone help?
Unit 2 Discussion Board
Deliverable Length: 3 - 4 paragraphs
Details: When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation.
Search the Cybrary and Internet. In the real world, where might these imaginary numbers be used?

Click here to see answer by stanbon(75887)

Question 48253: I have have to plot the following, y=100 -6x, I have to find the slope, the y intercept and x intercept. I am using the y=mx+b slope intercept method. so I know my y intercept is 100 and my slope is -6 over 1. My question is when i graph this - what scale should i use on the y axis so i don't have to use 1:1 ratio and then also am i required to use the same scale on the x axis? (and if my answers above aren't accurate please correct me!)
thanks
Click here to see answer by checkley71(8403)

Question 48269: i have a 3 part question that i can't seem to figure out. graph the below two equation --- P =2Q - 2 on vertical and Q=3P -14 on hortizontal, I tried doing this using the y=mx+b but it doesn't seem right.. 2nd Question: find combo of P & Q which meets both constraints and then finally find the slope of each line (looking for derivative of P with respect to Q.) I have tried several options and my answer does not look right. thanks
Click here to see answer by stanbon(75887)

Question 48290: Please help i dont know how to do these on the graphing calculator.
"using the graphing calculator:"
a.) Find the point of intersection for the graphs
and
b.) find the maximum value for the graph

c.) . On what intervals for "x" is "f" increasing?
PLEASE HELP THANKS THANKS !!!
Click here to see answer by stanbon(75887)

Question 48277: I need to graph y= -4xsquared +16x-12
I also need to find the intercepts.
I have completed the square, except I come up with
y+76 = 4-(xsquared-4x-16)
I also came up with the y intercept of (0, -12)
I am not sure if that is right. I also could not come up with the x intercept because I can not get the equation into vertex form. I am really confused.
Click here to see answer by stanbon(75887)

Question 48354: Given f(x)=3x+1, find f(a+3).
Click here to see answer by Nate(3500)

Question 48353: Are the following lines parallel, perpendicular, or neither?

L1 through (-4,-7) and (1,3)
L2 through (2,6) and (4,10)
Click here to see answer by Nate(3500)

Question 48352: Find the slope and y-intercept.
x= -7
Click here to see answer by Nate(3500)

Question 48282: I need to graph 2x^2 + y^2 - 4x -4y
I also need to find the intercepts.
Click here to see answer by Nate(3500)

Question 48281: I need help graphing x^2 + y^2 +2x -2y= 2
I also need to find the intercepts
Click here to see answer by Nate(3500)

Question 48279: I need to graph Y= log1/2(x-1)+3
and I need to find the intercepts.
note the 1/2 is small at the bottom of the g
Click here to see answer by Nate(3500)

Question 48278: I need to graph y=(1/2)^x-3 +1
I also need to find the intercepts. Can anyone help?
Click here to see answer by Nate(3500)

Question 48355:
A roof rises 7.25ft over a horizontal distance of 16.62 ft. What is the slope of the roof to the nearest hundredth?
Click here to see answer by cowess(34)

Question 48425: I need to find an equation of the line in Ax+By=C form that passes through the points (3, -2) and (5, 4)
Anyone have any ideas on how to do this?
Click here to see answer by tutorcecilia(2152)

Question 48431: I need help finding a logarithmic equation that passes through the points (1,0) and (6,4)
Click here to see answer by stanbon(75887)

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