Write an equation that models each of the following translations

Question

asked Sep 6, 2020 205k views

2 Answers

Ben Sullivan · Answer 1 · 2020-09-08T21:16:17+0000

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;

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

Deets · Answer 2 · 2020-09-12T13:29:41+0000

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

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