Question

Write the function in vertex form.

y=-x^2-4x-6

Answer 1

Answer: The vertex form is (x+2)^2= -(y+2) with a vertex (-2,-2).

Step-by-step explanation:

y= -x^2-4x-6 (given)

To convert the above equation in vertex form, we need to make a perfect square as follow:

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

The expression x^2+4x+4= (x+2)^2 which is a perfect square.

y= -(x+2)^2-2

Further rearranging, we get:

(x+2)^2= -(y+2)

Here, (-2,-2) is a vertex.