How do you graph $y = 5 sec (\frac{x}{2}) + 2$ $y=5sec(x/2)+2$ ?

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Answer 1 · 2018-03-11T08:15:15

As below

Standard form of equation $y = a sec (b x - c) + d$ $y = a sec(bx -c) + d$

Given : $y = 5 sec (\frac{x}{2}) + 2$ $y = 5 sec(x/2) + 2$

$a = 5, b = \frac{1}{2}, c = 0, d = 2$ $a = 5, b = 1/2, c = 0, d = 2$

Amplitude = none.

Period = $\frac{2 π}{| b |} = \frac{2 π}{\frac{1}{2}} = 4 π$ $(2pi) / |b| = (2pi) / (1/2) = 4pi$

Phase shift = -c / b = 0#

Vertical shift = d = 2#

graph{5 sec(x/2) + 2 [-10.38, 9.62, -7.8, 2.2]}

How do you graph y=5sec(x2)+2y=5sec(x/2)+2?