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

User Stephan Ahlf
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1 Answer

10 votes
10 votes

Answer:

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

User Jgetner
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