Question

Rewrite the quadratic function in vertex form. Then, determine the maximum or minimum and the axis of symmetry.

y = -3x 2 + 18x - 2

Answer 1

Answer: The maximum value is 25 and the axis of symmetry is x = 3.

Answer 2

See below in BOLD.

Explanation:

y = -3x 2 + 18x - 2

y = -3(x^2 - 6x) - 2

y = -3 [ (x - 3)^2 - 9] - 2

y = -3(x - 3)^2 + 25 is vertex form.

The coefficient of x^2 is negative so we have a maximum value of the function.

The maximum value is 25 and the axis of symmetry is x = 3.