Question

Given f(x) = (x - 4)^2 - 1, what is the change made to g(x) if the parent function is f(x) = x^2?

g(x) = x^2 + 3, what is the change made to g(x) if the parent function is f(x) = x^2?

Given the parent function f(x) = x&2, describe the translation of the function
f(x)=(1/4)((x-6)^2)+8

Given a = -1, h = 3, and k = 2, how will the graph g(x) change if the parent function is f(x) = x^2?

Answer 1

1.

`g(x)=(x-4)^2-1`


`f(x)` was moved 4 units right and 1 unit down

2.

`f(x)=x^2\\ g(x) = x^2 + 3`


`f(x)` was moved 3 units up

3.

`f(x)=x^2\\ g(x)=(1)/(4)(x-6)^2+8`


`f(x)` was moved 6 units right, scaled down along the y-axis 4 times and moved 8 unit up

4.

`f(x)=x^2\\ g(x)=-(x-3)^2+2`


`f(x)` is moved 3 units right, reflected over the x-axis and moved 2 units up