# How do you find the axis of symmetry, and the maximum or minimum value of the function #f(x) = 8 - (x + 2) ^2#?

##### 1 Answer

Explanation is given below

#### Explanation:

If you can understand the graph of a parabola opening up or down. You can easily get the solution to the question you have asked.

Let us see how.

The vertex form of the quadratic function is

If

if

The axis of symmetry for the graph opening up or down is decided by the

Now let us apply the same with respect to our problem.

Let us rewrite in the form

Comparing we can see

**Vertex is**

Since

Therefore the graph has a maxmimum.

**The maximum value is**

**The axis of symmetry is**