The graph below has the same shape as the graph of G(x) = x2, but it is shifted down three units and to the left two units. Complete its equation. Enter exponents using the caret (^); for example, enter x2 as x^2. Do not include "F(x) =" in your answer.

- anonymous

- jamiebookeater

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- anonymous

http://media.apexlearning.com/Images/200709/20/e0ce1c0c-da6e-454e-8cd0-b31ed6cdf237.gif

- anonymous

i tryed to do it on my own but didnt work and looked at examples and still didnt work.

- anonymous

hello ?

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## More answers

- anonymous

g(x)= x2 is an upward parabola with axis (0,0)... have u got that??

- anonymous

yea

- anonymous

if u put Y= y-3 ... and X= x ???

- anonymous

have you seen the picture

- anonymous

I could not see it...access denied...sad times

- anonymous

thtss weird it let me see it

- anonymous

ok

- anonymous

You can attach the image to the problem directly rather than linking it.

- anonymous

##### 1 Attachment

- anonymous

Ok, so the graph is the same as \(y = x^2\) But it's shifted down 3 units. So how will the y values of the graph relate to the y values of \(y=x^2\) for a particular value of x?

- anonymous

can i just have the answer just to see what you put tht i didnt put i had (x+-3)^2

- anonymous

If we call F(x) the y value of the function and G(x) = \(x^2\). What is F(x) in terms of G(x)?

- anonymous

idk , (x+1)^2

- anonymous

If x = 0, what will F(x) be?

- anonymous

0

- anonymous

Is that what your graph shows? Here's a better question. If H(x) is just had a parabola that looked exactly like \(x^2\) but was shifted down 3 units. What would H(0) be?

- anonymous

\(0^2 = 0,\) but our H(x) is shifted down 3 from this graph, so H(0) would be?

- anonymous

-3

- anonymous

And if x = 1?

- anonymous

What is \(G(x) = x^2 =?\) and what is our hypothetical H(x) ?

- anonymous

(1+-3)^2

- anonymous

No. If x=1, then \(G(x) = (1)^2 = 1\) And since H is still shifted down 3, we'd have H(x) = 1-3 = -2. So we can see that for any given value for x, H(x) = G(x) - 3

- anonymous

look i dont knoww this stuff , im just about to give im seriously

- anonymous

You're doing fine, but I'm trying to take it one step at a time and lead you to the concepts that will allow you to solve these quickly and easily. I think part of the problem is that you imagine that you just aren't going to be able to understand and therefore try to just guess at a solution to get it over with.

- anonymous

Do you have a little bit of time?

- anonymous

yess , alot

- anonymous

Ok. Lets start over then. Forget about this problem for a second. And lets take a look at a simpler problem.

- anonymous

If I have a function G(x) = x, What does that look like?

- anonymous

yess , alot

- anonymous

F(x)=x

- anonymous

No, G(x) = x. What does the graph of this look like?

- anonymous

I haven't said anything about F(x) yet ;) be patient =)

- anonymous

look idk , its crazzy i just need the answer so i can move on i know that your trying to help me and to get better at my math but i just need the answer

- anonymous

Getting the answer will not help you on the test.

- anonymous

it will .

- anonymous

You said you have time. Please also have patience also.

- anonymous

this is in a time thing so yeaa .

- anonymous

G(x) = x is just a line passing through the origin. When x = 0, G(x) = 0, when x = 1, G(x) = 1, and so on.

- anonymous

Right?

- anonymous

okay that was more simple next step

- anonymous

Now lets say we have another function F(x) that is the same shape (a straight line with a slope of 1) but it's not going through the origin. It is shifted down 3 units.
\(x = 0 \implies F(x) = ? \)
\(x = 1 \implies F(x) = ? \)

- anonymous

Given how I have discribed F, what will F(0) be?

- anonymous

If G(0) = 0, and F(0) is the same as G(0) but shifted down 3 units.. What is F(0)?

- anonymous

look im geting confused , this math is stressing mee outt , like really

- anonymous

Deep breath. If G(0) = 0, and F(0) is G(0) but shifted down 3 units, wouldn't F(0) = 0 - 3 = -3?

- anonymous

ive been said -3

- anonymous

You said -3 about something else. I said we were starting over with an easier problem.

- anonymous

What is F(1) ?

- anonymous

manee , can you just tell me the answer because ive been stuck on the same question for like an hour

- anonymous

If you are not interested in learning, I'm not interested in teaching. No I won't help you cheat.

- anonymous

then flutter you then lame

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