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

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|  = 2period = [tex]\frac{2\pi}{|b|}[/tex]            = [tex]\frac{2\pi}{2}[/tex] = [tex]\pi[/tex]phase shift = [tex]\frac{c}{b}[/tex] = 0and vertical shift = d = -3so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.