x nd a b and c for the fu G x write an equation in terr G X

x nd a, b, and c for the fu G x write an equation in terr G X write An Equation In Ter c x Homework Section 4.5 /web/Student/Assignment-Response s/last dep :15444852 O www.webassign.net UnitedHealthcare St I dent Home Gow W https://cgifederal sec YouTube A for a U.S. Vi Tubidy Download Tu w lar Electro A JuJl lauba PPly 16. O 01 points I Previous Answers LarPCalccc3 4.5.079. My Notes Ask Your Teacher Find a, b, and c for the function f(x) 3 a sin(bx c) such that the graph of f matches the figure 2 s f(x) in 2 2 Need Help? Read It Talk to a Tutor 942 PM 4 ENG Ask me anything

Solution

Period = 2pi clearly

So, b = 2pi/period
b = 2pi/2pi
b = 1

Notice that this has been shifted leftward by pi/4
When we shift the given graph by pi/4 rightward, we get the usual sin curve

So, c = -pi/4

And amplitude = (max - min)/2
A = (2 - (-2))/2
A= 4/2
A = 2

So, equation is :

2sin(x + pi/4) ------> ANSWER