Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = -8x + x2 + 7 ?
o left 4, down 9
o left 4, up 23
oright 4, down 9
o right 4, up 23

Move right by 4 units and down by 9 units

Step-by-step explanation:

The vertex of the parabolic function f(x) = x² is at (0,0)

Now, the parabolic function g(x) = - 8x + x² + 7 can be rearranged to vertex form.

g(x) = x² - 8x + 16 + 7 - 16

⇒ g(x) = (x - 4)² - 9

⇒ (x - 4)² = (y + 9) {If y = g(x)}

Therefore, the vertex of the parabolic function g(x) is at (4,-9).

Therefore, we have to move right by 4 units and down by 9 units to reach from vertex of f(x) to vertex of g(x). (Answer)

where's the diagrams?

john got lost so he didn't know what to do and it was crazy because he didn't except it

step-by-step explanation:

123123 step byt step