Vertical Stretching 7 Period pi1 Phase shift pi4 Midline

Vertical Stretching = 7

Period = pi/1

Phase shift = pi/4

Midline y = 0

Using the trig function csc(x), find an equation for the graph of f(x).. For example, y = 2csc(pi x - 1) + 4.

Solution

given

Vertical Stretching = 7

Period = pi/1

Phase shift = pi/4

Midline y = 0

standard function y = A sin(Bx + C) + D

A=vertical streching =7

period =2pi/B =2pi/2 =pi

phase shift = -c/B = 1/4

D=vericaal shift =0

y=7csc(2x-pi/2)+0