In the plane below, the blue graph represents y = sin x.

analyze the red graph and answer the following questions about the red graph:

1st question: the midline of the red graph is y =

2nd question: the amplitude of the red graph is =

3rd question: the equation of the red graph is=

ANSWER

a) y=-4

b) 2

c) y=2sinx-4

EXPLANATION

The midline divides the graph into two equal halves.

The midline of the red graph is

The amplitude is the distance from the midline to the peak of the graph.

The amplitude is 2.

The red graph is a transformation of the blue graph.

This transformation is of the form:

Where a=2 is the amplitude and d=4 is the downward shift by 4 units.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

dont trust me im no expert these losers made me fail a test bro this sucks

step-by-step explanation: