The graph of a quadratic function opens down and has a vertex of (-3,4).

the domain of the function is .

the range of the function is .

Domain: (-∞,∞)

Range: (-∞,4]

Step-by-step explanation:

We are given that the graph of a quadratic function opens down and it has a vertex at (-3,4).

Since, the quadratic function is a polynomial function hence it is continuous everywhere and hence is defined all over the real axis.

Hence, the domain of the quadratic function is:

(-∞,∞).

Also, we are given that the graph of the function opens downward.

This means that the function attains it's maxima at the vertex.

Hence, the y-value or the range of the function are all the numbers that are less than or equal to 4.

Hence, the range of the function is:

(-∞,4]

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step-by-step explanation:

the answer is 37

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