Question

Identify the vertex and the axis of symmetry of the graph of the function y = 2(x+2)2 - 4

Answer 1

Answer:

Part 1) The vertex is the point $(-2,-4)$

Part 2) The axis of symmetry is equal to $x=-2$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

The axis of symmetry of a vertical parabola is equal to

$x=h$ ----> the x-coordinate of the vertex

In this problem we have

$y=2(x+2)^{2}-4$

The vertex is the point $(-2,-4)$

The axis of symmetry is equal to the coordinate of the vertex

so

$x=-2$

see the attached figure to better understand the problem

Answer 2

(-2, -4) Would be your answer written in standard form.