which of the following is the graph of f(x)= 3 sin 2(x)?
Accepted Solution
A:
Answer:Step-by-step explanation:Use the form a sin ( bx- c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a = 3
b = 2c = 0
d = 0
Find the amplitude | a |
Amplitude: 3Find the period using the formula 2π ÷ IbI
Period: π
Find the phase shift using the formula [tex]\frac{c}{b}[/tex]Phase Shift: 0Find the vertical shift : dVertical Shift: 0List the properties of the trigonometric function.
Amplitude: 3
Period: π
Phase Shift: 0 (
0 to the right)
Vertical Shift: 0
Select a few points to graph.
x
f
(
x
)
0 0
π ÷ 4 3π ÷ 2 03
π ÷ 4 -3
π 0 The Trignometric function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude: 3
Period: π
Phase Shift: 0 (
0 to the right)
Vertical Shift: 0
x
f
(
x
)
0 0
π ÷ 4 3π ÷ 2 03
π ÷ 4 -3
π 0