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Mathematics > Standard Multiple Choice

Which of the following could be the equation of the function graphed in the above?

# Yep! That's right.

### Explanation

The function with equation and the function with equation each have a minimum value of when , but the function graphed does not have a minimum value of , so these options cannot be correct. The graph of the function with equation contains the point , but the function graphed does not contain any points with negative , so this option cannot be correct. The graph of the function with equation is not symmetric with respect to the , so it cannot be the equation of the function graphed. Therefore, the only equation that could correspond to the function graphed is . Its graph is the absolute value of a parabola opening upward with vertex at .