# How do you graph # y=4cos(2x-1)+3#?

##### 1 Answer

So features of graph

Amp:4

Period:

Max:7

Min:-1

graph{4cos(2x-1)+3 [-10, 10, -5, 5]}

#### Explanation:

Translation form of sine is

A~ Vertical stretch/Amp, y values get stretched by A

B~ Horizontal strech/Period, x values get stretched by

C~ Horizontal translation/Phase shift, x values move over by C

D~ Vertical translation, y values up by D

So we know that if we put it in translation form it looks like

So we know that the original

Amp:1

Period:

Max: 1

Min: -1

graph{sin(x) [-8.89, 8.886, -4.446, 4.446]}

So

So

So

So features of graph

Amp:4

Period:

Max:7

Min:-1

graph{4cos(2x-1)+3 [-10, 10, -5, 5]}