1957 AMC 12 Problem 10
Attempt Problem 10 of the 1957 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1957 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
The graph of has its:
lowest point at
lowest point at
lowest point at
highest point at
highest point at
Answer: C
Small hint:
Complete the square in
Big hint:
Because the coefficient of the square is positive, the vertex is a minimum
Solution:
Completing the square, The squared term is nonnegative, so the graph has its lowest point at
Thus, the correct answer is C.
Problem 10 in other years
- 1950 AMC 12
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