23 of 25 22 Determine the simplest form of an equation for t

23 of 25 (22 Determine the simplest form of an equation for the graph shown. Choose b>0, and include no phase shifts. (Midpoints and quarter-points are identified by dots) An equation of the function shown is y- k. Enter your answer in the answer box

Solution

equation representing graph is of the form is y=Atan(Bx)

period ,_/B =

=>B=1

y=Atan(x)

y =-5 at x=_/4

=>Atan(_/4) =-5

=>A*1=-5

=>A=-5

therefore equation of function shown is y=-5tan(x)