Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

Solution:

Given function is:

The equation in vertex form is given as:

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

On comparing,

a = 1

b = 8

Thus, use the (-4, -5) to find the minimum value

Domain and range

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

answer. d.289 hope that