The graph in Figure could be the graph of which of the following functions ?

Options

A. `f(x)=x^(2)+9`
B. `f(x)=(x-9)^(2)`
C. `f(x)=9-x^(2)`
D. `f(x)=|-x^(2)+9|`

Answer

D

Explanation

Testing the point (3, 0) in each of the answer choice, we find that this point is not on the graphs of choices (A), (B), and (D). Therefore, we can eliminate them. Looking at choices (C ) and (D), for any `x gt 3`, the graph of (C ) is negative so choice (C ) can be eliminated. Therefore, choice (D) must be correct.