# How do you find the axis of symmetry, and the maximum or minimum value of the function #y = x^2 - 6x + 4#?

##### 1 Answer

Jul 25, 2016

Axis if symmetry:

Minimum value:

#### Explanation:

A quadratic equation opens upward if the coefficient of the squared variable is greater than zero (i.e. it has a minimum value).

The minimum value is attained when the slope of the tangent (as given by the derivative) is equal to zero.

That is the minimum occurs when

or

The axis of symmetry is a vertical line (when

Therefore the axis of symmetry is

The value of the function