Question

(see picture) Help Please
The graph of F(x), shown below in pink, has the same shape as the graph of G(x) = 2x^2, but it is shifted to the right one unit.



F(x) = _____

Answer 1

is there a formula i can go about when i encounter these type of porblems?

Answer 2

Problems*

Answer 3

am i one the right track ? 2(x-1)^2 is what i got

Answer 4

Yes, that is the first step and is correct! You can either leave it like this or expand it.

Answer 5

how do i expand it?

Answer 6

if a functon it is shifted to the right you will substract from x in the equation if it is shifted to the left you will add to the x in the equation.if it is shifted in the y axis say for example to the bottom then you will substract from y if it is shifted to the top you will add to the y in the equation

Answer 7

y = 2(x - 1)^2 -> y = 2(x^2 - 2x + 1)

y = 2x^2 - 4x + 2

Answer 8

and do i need to expand it in my problem?

Answer 9

You should, for the best complete final answer.

Answer 10

okay thanks ! @tcarroll010

Answer 11

uw! Good luck to you in all of your studies and thx for the recognition! @jslp3z