Stay the amplitude and maximum output for the !

ANSWER

The amplitude is 2 and the maximum value is 2.

EXPLANATION

The given function is

This function is of the form:

The amplitude of this function is

Hence the amplitude is

Since the amplitude is 2, and there is no vertical shift, it means the function is bounded by

y=-2 and y=2.

The maximum value is :

2

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)