Question

Write an equation that models each of the following translations

Answer 1

ANSWER

$y = \cos3(x - 2)$

EXPLANATION

We have

$y = \cos(3x)$

This function is of the form:

$y = a \cos(b(x - c))$

The value of c shifts the graph c units to the right.

If the graph of this function is shifted 2 units to the right, then the equation becomes;

$y = \cos(3(x - 2))$

Answer 2

Answer:

The equation will be y = cos (3x-2)

Step-by-step explanation:

See the attached figure

The blue line shows the graph shifted by 2 units to the right while the red line shows the original graph