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)