2 Each of the following graphs has been obtained by transfor

2. Each of the following graphs has been obtained by transforming one of the parent functions sin (r) cos(z), tan(z), csc(a), sec(a), or cot(z). Assume that none of the graphs were shifted horizontally Find the equation for each of the transformed graphs. a. y F 3m 3m 3TT 2m 5TT/2 TT/2

Solution

(a) Parent Graph is cotx, but in this graph x varies from 0 to 3pi and cotx is 0 at x=3pi/2

so, the given graph is for cot(x/3)

(b) The paren graph is secx

and the given graph is f(x)=2sec(x)-1

(c)the paren graph is of cosx

and the given graph is 3cos(2x+pi/2)