1 Answer

Mzjn · Answer 1 · 2021-08-23T14:33:20+0000

Answer:

The graph is shown below.

Explanation:

The trigonometric expression is:

$f(x)=sin\ (x)-5$

The general form is:

$f(x)=a\ \text{sin}\ (bx-c)+d$

Comparing the two expression we know:

a = 1

b = 1

c = 0

d = -5

Compute the value of amplitude, |a | as follows:

$\text{Amplitude}=|a|=|1|=1$

Compute the period of the function as follows:

$\text{Period}=(2\pi)/(|b|)=(2\pi)/(|1|)=2\pi$

Compute the phase shift as follows:

$\text{Phase Shift }=(c)/(b)=(0)/(1)=0$

The vertical shift is:

$\text{Vertical Shift}=d=-5$

The properties of the trigonometric function are:

Amplitude = 1

Period = 2π

Phase shift = 0

Vertical shift = -5

Plot the graph of the trigonometric function by selecting a few points.

x :

$(\pi)/(2)$
$\pi$
$(3\pi)/(2)$
$2\pi$

f (x) : -5 -4 -5 -6 -5

The graph is shown below.

Please log in or register to add a comment.