Question

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

Answer 1

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

$y = - 4$

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

$| - 2 - - 4| = 2$

The amplitude is 2.

The red graph is a transformation of the blue graph.

This transformation is of the form:

$y = a \sin(x) - d$

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

$y = 2\sin(x) - 4$