# How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y= -(x-5)^2#?

##### 1 Answer

The axis of symmetry is the

#### Explanation:

To find the axis of symmetry, you must first find the vertex (min or max). If this equation is in vertex form, then you can find your answer without any math, really. It's the

Vertex form equation:

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

So, your

#y= -(x-5)^2#

would be

It's

Finally, to find the axis of symmetry, just look at the

Axis of Symmetry:

If you look at the graph, the maximum is indeed

graph{-(x-5)^2 [-10, 10, -5, 5]}