Question

Score: 0 of 1 pt X 10.1.11 Match the point 2, 9x 5 in polar coordinates with either A, B, C, or D on the graph. 9 Choose the correct letter below which represents the point 2 - OD ОВ

Answer 1

The given function is = - 6 sin ( -3x+ I) o a) Amplitude, period and phase shift ? For an equation y: A sin ( Bx + c) you Idla amplitude | 215/Ba period - c/B => phase shift fo, by comparing we get A - -6 ; B=-3 c 2 T1/2 Perrod 21T B 1 - 1-21 217/3 -T/ TT/ Phase shift 2 - 3 Therefore, for Y - 6 sinf - 3x + 1/2) Amplitude 1-615 6 . Perrod = 217/3 Phase shift Tlo, CS Scanned with CamScanner

b) the graph of the function in the domain of -2π≤x≤2π is as follows

y=-6(sin(-3x+1/2)) -5 (=20, 0) 121, 0) -5 0 5 d

c) We have y = - 6sin ( -3x +T/2 we have to make change here so that, the function will have y zo for all value of x. So, in order to do that, we have shift the function upwards by 6 unib. It can be done by adding 6 to the function So, for y -6 (sin(-32++/-)) + 6 for all values of a y=0 CS Scanned with CamScanner

d) - 6sin (-3x + 1)2) It indicates the the direction of the graph f the function above on below a-axis, 0 عه - 6 Sin (- 3x +(2) 2 simplifying 2 6sin (1/₂ - 3x) 2) 2 y c6 cos (3x) Therefore, so - 6sin (-3x+11/2) - 6 cos (3x) both the functions will have same graphe So, the answer is yz -.6 cos (3x) ? CS Scanned with CamScanner