How do you graph $y = 1 + 5 cos (x - π)$ $y=1+5cos(x-pi)$ ?

Question

2147 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-03T00:06:42

We start with the graph of $y = cos x$ $y=cosx$

graph{cos(x) [-10, 10, -6, 7]}

We then translate the graph $π$ $pi$ units to the right along $O x$ $Ox$ giving $y = cos (x - π)$ $y=cos(x-pi)$

graph{cos(x-pi) [-10, 10, -6, 7]}

We then scale the graph along $O y$ $Oy$ by a factor of $5$ $5$ giving $y = 5 cos (x - π)$ $y=5cos(x-pi)$

graph{5cos(x-pi) [-10, 10, -6, 7]}

Finally, we translate then the graph by $1$ $1$ unit up $O y$ $Oy$ by a factor of $5$ $5$ giving $y = 1 + 5 cos (x - π)$ $y=1+5cos(x-pi)$

graph{1+5cos(x-pi) [-10, 10, -6, 7]}

How do you graph y=1+5cos(x−π) y=1+5cos(x-pi)?