Question 1 (2 points) (03.04)

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

A-The vertex is (-1,4), the domain is all real numbers, and the range is y greater than4.

B-The vertex is (-1, 4), the domain is all real numbers, and the range is y less than4.

C-The vertex is (1,4), the domain is all real numbers, and the range is y greater than 4.

D-The vertex is (1.4), the domain is all real numbers, and the range is y less than4.

The vertex is (-1, 4), the domain is all real numbers, and the range is y less than 4

Step-by-step explanation:

Given

Solving (a): The vertex;

Assume the general form of a function is

The vertex is determined by

By comparison, we have:

Solve for h, we have:

So, the vertex is:

The domain; x is all real numbers

From the function;

This can be rewritten as:

This implies that:

Whatever the value of is, it will be subtracted from 4 to give y or f(x);

Hence:

y is less than 4

Option B answers the question