Question

What are the coordinates for the vertex of the parabola represented by the quadratic equation y = 2( x + 5)^2 − 6?

(5,−6)
(−6,−5)
(−5,−6)
(−6,5)

Answer 1

It’s (-5,-6). Look up vertex form, this is what it’s in. Memorize the form. It will help you.

Answer 2

`\sf (-5, -6)`

Explanation:

The equation of parabola is given as:

tex]\sf y = a(x - h)^2 + k[/tex], where
`\sf (h, k)` are the coordinates of the vertex.

The given quadratic equation
`\sf y = 2(x + 5)^2 - 6` is in the form
`\sf y = a(x - h)^2 + k`.

Now

Comparing it with
`\sf y = a(x - h)^2 + k`, we can see that
`\sf h = -5` and
`\sf k = -6`.

Therefore, the coordinates of the vertex are
`\sf (-5, -6)`