Question

SAT question
Can someone explain to me what this is asking

Answer 1

B

Explanation:

The vertex is the turning point of the parabola.

First find the zeros by equating y to zero, that is

(x - 6)(x + 12) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 12 = 0 ⇒ x = - 12

The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros, thus

`x_(vertex)` =
`(6-12)/(2)` =
`(-6)/(2)` = - 3

Thus the x- coordinate of the vertex is x = - 3 → B