Question

Report M Registration Packet Applying for the Sc coursemode course assign=2543H Student Co-Fact-Sheets.pdf My Dave Google 21 Books You've Be How to Divide Equi.. Microsoft Words rogram x Bet to the Obiective MATH 125, Unit 4, Objective 3, Homework 4.3 Section 1 - Section 2 •Section The graph of a function y - asin((x - 1)) + k is shown. Find its corresponding equation, where h is the closest right shift. The values for b and a will always be positive. Round to two decimal places where necessary. sin search O II 7

Answer 1

The solution is given below

we From the cam see graph, that maximum value is 0.5 and minimum value is -4.5 Son 0.5-(-4.5) a mak-mina 2 amplitud 2 0,5 + 4.5 5 2 2 а: = 2.5 or 572 And vertical shift or mid-line k=mant min 2 k 0.5-4.5 =-4 2 2 -2 xi-anis we so the graph 35 is is And we know that 0.705- I 4 So, the scale on is 714 And know that sine graph starts with shifted right by 4 so phase shift [h=37/4 or ha 2.355 And cycle completed from 5.495 to x=-7.865 period 5,495-(-7,065) period YA And know that period = 25 since one x = Goy 12.56 we b

= = 1 2 b 2 Thus, b 21 period XX 1/2 substitutin these valus in = a sin (b(x-h)) tk 34) +62) y =2.5 Sin(0.5(x - 2.355))+62) ting AC (L (X- 37 ya Sin (I