Question

Is y=-4+3x^2 maximum of minimum

Answer 1

minimum

Explanation:

Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0

Whether the function is maximum or minimum can be determined by consideration of the sign of the coefficient a

• If a > 0 then minimum

• If a < 0 then maximum

For y = - 4 + 3x² the value of a is 3 > 0

Hence y = - 4 + 3x² is a minimum