# How do you graph y=4cos(x+1)-2?

Aug 6, 2018

As below.

#### Explanation:

Standard form of a cosine function is $y = A \cos \left(B x - C\right) + D$

$y = 4 \cos \left(x + 1\right) - 2$

$A = 4 , B = 1 , C = - 1 , D = - 2$

$A m p l i t u \mathrm{de} = | A | = 4$

"Period ' = (2pi) / |B| = 2pi

$\text{Phase Shift ' = -C / B = 1, color(crimson)(" 1 to the RIGHT}$

"Vertical Shift ' = -2

Knowing the above 4 parameters, we can draw thegraph.

graph{4 cos(x + 1) - 2 [-10, 10, -5, 5]}