PLEASE help me! Quick

Question

state the amplitude, period, equation of the axis, and max and min values of the sinusoidal function , y=3sin(x-60) +4. describe the transformations of the function. Graph the function and state the domain and range

Answer 1

f(x) = A trig(Bx-C) + D

A = amplitude

B and C = phase shift

D = vertical shift

In this case:

amplitude = 3

period(B)= 2pi

min = -1*3 + 4 = 1

max = 1*3 + 4 = 7

The function was vertically stretched by a factor of 3, horizontally shifted 60 units to the right and vertically shifted 4 units upward.

Domain: (-inf, inf)

Range: [1, 7]