How do you find the axis of symmetry, and the maximum or minimum value of the function #y = x^2 - 6x + 4#?
Axis if symmetry:
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
The axis of symmetry is a vertical line (when
Therefore the axis of symmetry is
The value of the function