Question

Using these similarities and differences, how would you transform f(x) = 4 sin(2x - π) + 3 into a cosine function in the form f(x) = a cos(bx - c) + d?

Answer 1

@ganeshie8 @Hero @jim_thompson5910 @phi

Answer 2

the easy parts are a and d... they match up with your sin function

Answer 3

Ya. Does b match up also?

Answer 4

yes

Answer 5

then use
cos(stuff - pi/2) = sin(stuff)

in other words, subtract an extra pi/2 to change the sin into a cosine
Here is what you get

Answer 6

so c will turn into (pi + pi/2) = 3pi/2

Answer 7

Alright. Thank you very much.

Answer 8

yw

Answer 9

btw, I used geogebra (can be downloaded for free) to plot the curves and test that it worked.