Answer:
Yes, this graph is absolutely right for the function y = [tex]2\sin(2x)-3[/tex].
Step-by-step explanation:
firstly we will calculate amplitude, period, phase shift, and vertical shift.
Use the standard form [tex]a\sin(bx-c)+d[/tex] to calculate the values of amplitude, period, phase shift, vertical shift.
here a = 2
b = 2
c = 0
d = -3
Amplitude = |a| = 2
period = [tex]\frac{2\pi}{|b|}[/tex]
= [tex]\frac{2\pi}{2}[/tex] = [tex]\pi[/tex]
phase shift = [tex]\frac{c}{b}[/tex] = 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.
