Question

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

Answer 1

Vertex (-1, 4)

Domain = All real numbers

Range = All y values such that y ≤ 4

Answer 2

Vertex = (-1, 4)

Domain = All real numbers i.e. R

Range = (-∞, 4)

Explanation:

The vertex of the quadratic equation:

f(x) = a(x - h)² + k

Here, Vertex = (h,k)

Thus, Vertex = (-1, 4)

Domain = All real numbers i.e. R

Range = All real numbers less than or equal to 4 i.e. (-∞, 4) or f = ≤ 4.

Further, the possible values of x are called Domain.

And, the possible output we get as y is called Range.