Finding the equation for the graph Find a function of the fo

Finding the equation for the graph

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 =

Solution

midline is y=(6-2)/2

mid line is y=2

amplitude ,A=(6-(-2))/2

A=4

period =10

2/k =10

=>k=2/10

=>k=/5

vertical shift C=2

function is y=4(cos((_/5)x)) +2