The parabola shown is the graph of which function?

Check the final answer first, then review the worked steps.

Problem

The parabola shown is the graph of which function?

Step-by-step solution

The parabola opens upwards and passes through points (-4, 2) and (4, 2). Testing these points in the given options, only $f(x) = \frac{1}{8}x^2$ satisfies both conditions.

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Answer

B