Question

Can someone help me please?

Answer 1

B

Explanation:

Given

y = (x - 3)(x - 13)

Find the zeros by setting y = 0, that is

(x - 3)(x - 13) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 13 - 0 ⇒ x = 13

The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, thus the x- coordinate of the vertex is

`x_(vertex)` =
`(3+13)/(2)` =
`(16)/(2)` = 8

Substitute x = 8 into the equation for the corresponding y- coordinate

y = (8 - 3)(8 - 13) = 5(- 5) = - 25

vertex = (8, - 25 ) = (u, v) → with v = - 25 → B