Question

What is the vertex of y = −(x + 4)2 − 7

Answer 1

Answer:
`(-4,-7)`

Explanation:

By definition, the equation of parabola in Vertex form is:

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

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

You need to remember that multiplication of signs:

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-`

Then given the equation
`y = -(x + 4)^2 - 7`, you know that this is:

`y = -(x -(-4))^2 +(-7)`

You can observe that the value of "h" and the value of "k" of this equation are:

`h=-4\\k=-7`

Therefore, the vertex is:

`(-4,-7)`