Question

Consider the equation of parabola y = 5x - 30x + 45.

Answer 1

Answer:

(3, 0 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c (a ≠ 0 )

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

y = 5x² - 30x + 45 ← is in standard form

with a = 5, b = - 30 , then

$x_{vertex}$ = - $\frac{-30}{10}$ = 3

Substitute x = 3 into the function for corresponding value of y

y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0

vertex = (3, 0 )