# How do you find the axis of symmetry and vertex point of the function: #y=16x-4x^2 #?

##### 1 Answer

See explanation: Shortcuts given

#### Explanation:

The

Everything else transforms it in some way.

Multiplying

If the equation was of form

Lets try it:

Write

so the maximum should occur at

Plot of actual graph:

Note that what I have shown you is a shortcut to 'completing the square' method

To find where the curve crosses the x-axis substitute y=0 in the original equation. To find the y coordinate of the vertex point substitute the found value of x in the equation. I will let you do that!