Question

Graph A passes through coordinates at left parenthesis 0 comma 0 right parenthesis, left parenthesis start fraction pi over 2 end fraction comma 2 right parenthesis, left parenthesis pi comma 0 right parenthesis, left parenthesis start fraction 3 pi over 2 end fraction comma negative 2 right parenthesis, left parenthesis 2 pi comma 0 right parenthesis. Graph B passes through coordinates at left parenthesis 0 comma 0 right parenthesis, left parenthesis start fraction pi over 2 end fraction comma 4 right parenthesis, left parenthesis pi comma 0 right parenthesis, left parenthesis start fraction 3 pi over 2 end fraction comma negative 4 right parenthesis, and left parenthesis 2 pi comma 0 right parenthesis. Graph C passes through coordinates at left parenthesis 0 comma 3 right parenthesis, left parenthesis start fraction pi over 2 end fraction comma 0 right parenthesis, left parenthesis pi comma negative 3 right parenthesis, left parenthesis start fraction 3 pi over 2 end fraction comma 0 right parenthesis, and left parenthesis 2 pi comma 3 right parenthesis.

Create a table of values to determine which is the correct graph of y=4sinx
.

(1 point)
Responses

Graph C
Graph C

Graph A
Graph A

It is not possible to determine which graph is the graph of y=4sinx
.
It is not possible to determine which graph is the graph of y equals 4 sine x .

Graph B
Graph B

Answer 1

Table of values for y = 4 sin x:

x | sin x | y = 4 sin x
0 | 0 | 0
π/2 | 1 | 4
π | 0 | 0
3π/2 | −1 | −4
2π | 0 | 0

These values match Graph B, so the correct graph is Graph B.