Question

"Trigonometric Models" (50 POINTS) Is my graph right?

Answer 1

Answer:

Yes, this graph is absolutely right for the function y = $2\sin(2x)-3$.

Step-by-step explanation:

firstly we will calculate amplitude, period, phase shift, and vertical shift.

Use the standard form $a\sin(bx-c)+d$ to calculate the values of amplitude, period, phase shift, vertical shift.

here a = 2

     b = 2

     c = 0

    d = -3

Amplitude = |a|  = 2

period = $\frac{2\pi}{|b|}$

           = $\frac{2\pi}{2}$ = $\pi$

phase shift = $\frac{c}{b}$ = 0

and vertical shift = d = -3

so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.