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Art [367]
3 years ago
13

Question 1 (2 points)

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

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

Step-by-step explanation:

Given

f(x) = -(x+1)^2 + 4

Solving (a): The vertex;

Assume the general form of a function is

f(x) = a(x-h)^2+k

The vertex is determined by (h,k)

By comparison, we have:

-h = 1

Solve for h, we have:

h = -1

k = 4

So, the vertex is:

(h,k) = (-1,4)

The domain; x is all real numbers

From the function;

f(x) = -(x+1)^2 + 4

This can be rewritten as:

f(x) = 4 - (x+1)^2

This implies that:

Whatever the value of (x + 1)^2 is, it will be subtracted from 4 to give y or f(x);

Hence:

y is less than 4

<em>Option B answers the question</em>

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