Question

Determine whether the function f(x) = 0.25 (2x - 15)^2 + 150 has a maximum or minimum.

Answer 1

minimum

Explanation:

Given a quadratic function in vertex form

f(x) = a(x - h)² + k

• If a > 0 then f(x) is a minimum

• If a < 0 then f(x) is a maximum

f(x) = 0.25(2x - 15)² + 150 ← is in vertex form

with a = 0.25 > 0

Thus f(x) has a minimum turning point