Problem 19.1. Find the amplitude, period, a
phase shift and the mean of the following si-
nusoidal functions.
(a) y = sin(2x - 7) + 1
(b) y = 6 sin(2x) - 1
(c) y = 3 sin(x + 2.7) + 5.2
(d) y = 5.6 (sin (x-7) – 12.1)
(e) y = 2.1 sin ( + 44.3) – 9.8
(1) y = 3.9 (sin(22.34(x + 18)) -- 11)
(g) y=11.2 sin ((x -9.2)) + 8.3

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)