# How do you graph y=-3 sec x?

May 6, 2018

We want a graph of the function:

$y = - 3 \sec x$

We start with a graph of the function $y = \sec x$
graph{secx [-10, 10, -10, 10]}

We scale it by a factor $3$ along $O y$ to get the graph of the function $y = 3 \sec x$
graph{3secx [-10, 10, -10, 10]}

Then we reflect it in $x$-axis to get a graph of the function $y = - 3 \sec x$
graph{-3secx [-10, 10, -10, 10]}