Question

Determine whether the parabola opens up or down and identify the vertex and AOS line 1.y=(x+2)^2+2

Answer 1

Parabola will open up.

Vertex is (-2,2).

AOS will be x=-2.

Explanation:

Given equation of the parabola is
`y=(x+2)^2+2`.

Now we need to identify if the parabola opens up or down then find the vertex and axis of symmetry (AOS).

Compare given equation
`y=(x+2)^2+2` with formula
`y=a(x-h)^2+k`

We get: a=1, h=-2, k=2

a=1 is positive so that means parabola will open up.

(h,k) gives vertex so vertex is (-2,2).

Axis of symmetry is given by x=h

Then AOS will be x=-2.