Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The vertex form of an equation of a parabola:

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

(h, k) - vertex

We have:

$y-3=\dfrac{1}{2}(x+5)^2$             add 3 to both sides

$y=\dfrac{1}{2}(x-(-5))^2+3$

The vertex: (-5, 3)

Answer 2

Answer:

(-5, 3)

Step-by-step 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.