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

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Answer 1 · 2018-05-06T20:32:51

We want a graph of the function:

$y = - 3 sec x$ $y=-3secx$

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

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

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

How do you graph y=-3 sec xy=−3secxy=-3 sec x?