Question

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?

The domain is all real numbers. The range is y.
The domain is all real numbers. The range is y.
The domain is –5 < x < 3. The range is y.
The domain is x. The range is y

Answer 1

The correct answer would be B.

Explanation:

The equation given is
`-x^(2) -2x+15`

Turning this equation into vertex form

=
`-(x^(2) +2x)+15`

=
`-(x^(2) +2x+1)+15+1`

=
`-(x+1)^(2)+16`

With a=-1, the range of y values is below 16

The domain would be all real numbers

The range is y