Question

What is the vertex of the parabola `y = 5(x+2)^2 + 7`?

Answer 1

Vertex: `(-2,7)`

Explanation:

The general vertex form for a parabola is
`color(white)("XXX")y=m(x-a)^2+b`
with its vertex at `(a,b)`

`y=5(x+2)^2+7` is equivalent to `y=6(x-(-2))^2+7`
which is in vertex form with vertex at `(-2,7)`

graph{5(x+2)^2+7 [-6.85, 3.01, 4.973, 9.9]}