Determine whether the function f(x) = 0.25 (2x - 15)^2 + 150 has a maximum or minimum.
1 answer:
Answer:
minimum
Step-by-step 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
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