Question

A parabola whose equation is y = (x - 5)2 - 2 has a vertex at _____

Answer 1

the answer is (5, -2)

Answer 2

Vertex of the parabola is (5,2)

Explanation:

The equation of the parabola is

`y=(x-5)^2-2`

The vertex form of the parabola is given by

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

Here (h,k) is the vertex of the parabola.

Now, comparing the given equation with the vertex form of the parabola, we get

a = 1, h = 5, k =-2

Therefore, the vertex is

(h,k)

= (5,-2)

Vertex of the parabola is (5,2)