Identify the vertex for the graph of y = -2x² -12x
(-3, 18), (-3, 55), (3, -53), (3, -47)

Solution:

Given y = -2x² - 12x

Comparing the general equation of the parabola with the given equation, we get

a = -2 , b = -12 and c = 0

The vertex of a parabola is given by (h, k)

h = -b/2a 

k = f(h)

h = 12/2(-2) = -3

k = f(-3) = -2(-3)² -12(-3)

= 36-18 = 18

This is the vertex is (-3, 18)

Identify the vertex for the graph of y = -2x² -12x
(-3, 18), (-3, 55), (3, -53), (3, -47)

Summary:

The vertex for the graph of y = -2x² -12x is (-3, 18).