Question

Use the drop-down menus to identify the values of the parabola.

Vertex = ____

Domain = ____

Range = y

Answer 1

The answer is

Vertex: 0,4

Domain: x is a real number

Range: 4

:D

Answer 2

Vertex - (0,4)

Domain -
`D=[x|x\in\mathbb{R}]`

Range -
`R=[y|y\leq 4]`

Explanation:

Given : The graph of a parabola

To find : The values of the parabola - Vertex ,Domain and Range

Solution :

To identify the vertex the given parabola given by equation

`y=-x^2+4`

Vertex is given by
`y=a(x-h)^2+k`

where (h,k) are the vertex.

Comparing with equation,

Vertex is (h,k)=(0,4)

Domain is the set of value where function is defined.

The domain of given function is all real numbers.

`D=[x|x\in\mathbb{R}]`

Range is the set of value that corresponds to the domain.

`R=[y|y\leq 4]`