Question

Help!

For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.


The vertex is (–1, 4), the domain is all real numbers, and the range is y ≥ 4.

The vertex is (–1, 4), the domain is all real numbers, and the range is y ≤ 4.

The vertex is (1, 4), the domain is all real numbers, and the range is y ≥ 4.

The vertex is (1, 4), the domain is all real numbers, and the range is y ≤ 4.

Answer 1

The answer is b. With the equation a(x-h)+k = y, the vertex will be (h,k), hence the vertex being (-1,4)
As for the range, a is -1, meaning the function will facing downward, and since the vertex represents the maximum or minimum height of this function, we know that the max point will be 4, hence y ≤ 4.

Answer 2

okie thanks! :D