Question

what does these following functions look like on a graph? i dont know how to graph them:
y=2sin5(x-45)-5
y=3cos(4x-2Π)-2
y=-9sin6(x-3Π/4)-1
y=5cos(30x)+9

Answer 1

Well start with standard trig functions sinx and cosx

sin and cos functions look like a wave but sin starts at zero and cos starts at 1

so begin there cos starts at 1 sin at 0 plot that very first point

Answer 2

i'll do first one for you
I assume you mean
y=2*sin(5*(x-45))-5

since it is a sin start at 0

the 2 means stretch vertically by a factor of 2 It also means your amplitude

where you see the 5 it means stretch horizontally factor of 5

the - 45 means shift left and right by 45 units the - 5 means shift up and down by -5