Answer:
B
Step-by-step 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
[tex]x_{vertex}[/tex] = [tex]\frac{3+13}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 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
