Question

what is the vertex of Y equals X to the second power -4x-5​

Answer 1

Answer:

vertex = (2, - 9 )

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

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

x² - 4x - 5 ← is in standard form

with a = 1, b = - 4, thus

$x_{vertex}$ = - $\frac{-4}{2}$ = 2

Substitute this value into the quadratic for corresponding value of y

(2)² - 4(2) - 5 = 4 - 8 - 5 = - 9

vertex = (2, - 9 )