Question

Describe how the graph of the function y=1.5sin(4x) is related to the graph of y=sin(x).

Answer 1

Then graph the periods of y=1.5sin(4x).

Answer 2

direct conclusions can be drawn
1: that the shape remains sinusoidal
2: the period changes from 2*pi to 2*pi/4 (figure out why?)
3: the maximum and minimum values become 1.5 and -1.5 (figure out why?)

Answer 3

Standard form of equation for sin function: Asin(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B

Answer 4

@harsimran_hs4
1. Because "sin" stays right? Although I know what sinusoidal means, can you explain more please.
2. Because B = 4, 2pi/B=2pi/4.
3. I don't understand how you came up with this.

Answer 5

@af0998
sinusoidal means that has the shape similar to sin x curve

consider sin(ax + b)
whatever be the values of a and b ultimately it will lie b/w -1 and 1
-1 < sin(ax+b) < 1
-1* 1.5 < 1.5* sin(ax+b) < 1.5* 1
(multiplying by 1.5)