Question

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 .

Answer 1

if the equation is in standard form of a^2+b+c=0 then the domain will be
(-inf.,inf) and the range will be (-inf.,4].
hope this helps.

Answer 2

Domain: (-∞,∞)

Range: (-∞,4]

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]