Question

What is the vertex of the parabola? Y-3=1/2(x+5)^2 Enter your answer in the box.

Answer 1

(-5, 3)

Explanation:

This equation is in standard vertex form for a parabola which is y-k = a(x-h)^2 where h and k are the coordinates for the vertex, hence h = -5 and k=3 so (-5, 3) is the vertex of the parabola.

Answer 2

`\large\boxed{(-5,\ 3)}`

Explanation:

The vertex form of an equation of a parabola:

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

(h, k) - vertex

We have:

`y-3=(1)/(2)(x+5)^2` add 3 to both sides

`y=(1)/(2)(x-(-5))^2+3`

The vertex: (-5, 3)