Select the statements that are true for the graph of y=−(x−0.5)^2 +9 . Choose all correct statements. The vertex is (−0.5,9) . The graph has a maximum. The graph has a minimum. The vertex is (0.5,9) .

See below.

Step-by-step explanation:

So, we have the graph:

First, note that this is a quadratic function and its in the vertex form. The vertex form of a quadratic equation have the form:

Where (h,k) is the vertex.

From this, we can figure out that the vertex is (0.5,9). Also, the negative in front of the parentheses tells us that the function is facing downwards. Because it's facing downwards, then it has a maximum value.  

Because of this, from the given statements, the correct statements are:

1) The vertex is (.5,9).

2) The function has a maximum.

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step-by-step explanation:

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