Question

What are the coordinates of the vertex of the parabola described by the equation below? y=2(x+5)^2+3 APEX

Answer 1

The vertex is the point (-5,3)

Explanation:

we know that

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

`y=a(x-h)^(2)+k`

where

a is a coefficient

(h,k) is the vertex

If a > 0 the parabola open upward and the vertex is a minimum

If a < 0 the parabola open downward and the vertex is a maximum

In this problem we have

`y=2(x+5)^(2)+3`

a=2

so

the parabola open upward and the vertex is a minimum

h=-5, k=3

therefore

The vertex is the point (-5,3)