Question

Jen is investigating a quadratic function g(x). She writes four different forms of the function, as shown below.

Select the form that reveals the vertex of g(x) without having to be rewritten.(1 point)
Responses

g(x)=−2x2+16x−24

g of x is equal to negative 2 x squared plus 16 x minus 24

g(x)=−2(x2−8x+12)

g of x is equal to negative 2 times open paren x squared minus 8 x plus 12 close paren

g(x)=−2(x−4)2+8

g of x is equal to negative 2 times open paren x minus 4 close paren squared plus 8

g(x)=−2(x−6)(x−2)

Answer 1

g(x) = −2(x−4)^2 + 8

This is in vertex form a(x−h)^2 + k, so the vertex is (h, k) = (4, 8).