SAT Math Multiple Choice Practice Question 455: Answer and Explanation

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Question: 455

17. If m > 0 and b > 0, which of the following could be a graph of y = mx2 + b ?

A.
B.
C.
D.
E.

Correct Answer: D

Explanation:

D This is a parabola, because one of the two variables is squared. Eliminate A, B, and E, which are not parabolic graphs. Because the smallest possible value of mx2 is 0, the smallest possible value of mx2 + b is b, so all of the curve must be above the x-axis. Only D works.

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