Mathematics: CAN SOMEONE HELP ME ON GRAPHING THIS? THANKS, i WILL GIVE YOU 5 STARS AND OTHERS: f(x) = sin(x) – 5

saw this question on egde its b...

CAN SOMEONE HELP ME ON GRAPHING THIS? THANKS, i WILL

CadenClough13

29.01.2022

The graph is shown below.

Step-by-step 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:

$\text{Period}=\frac{2\pi}{|b|}=\frac{2\pi}{|1|}=2\pi$

Compute the phase shift as follows:

$\text{Phase Shift }=\frac{c}{b}=\frac{0}{1}=0$

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 : $\frac{\pi}{2}$ $\pi$ $\frac{3\pi}{2}$ $2\pi$

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

The graph is shown below.

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