Find a function of the form y A sinkx C or y A cos kx C

Find a function of the form y = A sin(kx) + C or y = A cos (kx) + C whose graph matches the function shown below: Leave your answer in exact form; if necessary, type pi for pi. y = syntax error

Solution

the answer is

y = 6 sin(pi/5*x) + 1

when x = 0 graph has y = 1 then c=1

y_max=7

which is at x = 2.5

again y = 1 at x=5 then k = pi/5

A = 6 max 6+1 , min 6-1

A = ( max+ min)/2