# How do you graph y= -3 cos x+2?

##### 1 Answer
Jun 3, 2018

Start with the classic graph, $y = \cos x$, then we can build up.

graph{cosx [-0.935, 6.86, -2.006, 1.89]}

Because the graph we want has a $- \cos x$, we flip this graph about the $x$-axis, to get $y = - \cos x$

graph{y=-cosx [-0.935, 6.86, -2.006, 1.89]}

We now want #y=-3cosx. This is a vertical stretch, scale factor 3.

graph{y=-3cosx [-4.413, 11.39, -3.66, 4.236]}

Finally, shift the graph up by 2 units to get our final graph, $y = - 3 \cos x + 2$

graph{-3cosx+2 [-4.413, 11.39, -3.66, 4.236]}