The function graphed to the right is of the form v a sin bx

The function graphed to the right is of the form v = a sin bx or v = a cos bx. where b>0. Determine the equation of the graph. y= (Type an expression using x as the variable.

Solution

Graph looks like inverted sinx graph.

period = pi

y = a*sin(bx)

b = 2pi/pi = 2

amplitude = 2

y = 2sin(2x)

Inverted across x axis: y = -2sin(2x)