How do you find the vertex of a parabola #y= -5[x+2]^2#?

1 Answer
Jul 18, 2015

The vertex is at #color(red)((-2,0)#.

Explanation:

The vertex form of the equation for a parabola is:

#y = a(x - h)^2 + k#, where (#h, k#) is the vertex of the parabola.

We can re-write your equation as

#y = -5(x+2)^2 + 0#

By comparing your equation with the vertex form, we see that

#h = -2# and #k = 0#.

The vertex is at (#-2,0#).

graph{y = -5(x+2)^2 [-5,2 , -5, 2]} #