Question

Amplitude of h(x)=-4sin(2x-7)+3

Answer 1

Use the form asin(bx−c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.

a=−4

b=2

c=7

d=3

Find the amplitude |a| .

Amplitude: 4

Find the period using the formula 2
`\pi` / |b|.

Find the phase shift using the formula c / b .

Phase Shift: 7/2

List the properties of the trigonometric function.

Amplitude: 4

Period:
`\pi`

Phase Shift: 7/2 (7/2 to the right)

Vertical Shift: 3

Explanation: