Answer:
Original equation:
y = a sin(b(θ -c)) + d
a = vertical dilation (stretch) of the amplitude
b = horizontal compression (shrink) of the period
c = horizontal shift (left/right)
d = vertical shift (up/down)
Your function is:
y = 3 sin(3θ + π) - 2
First, put it into the general from by factoring out the three in the argument of the sine:
y = 3 sin(3(θ + π/3)) - 2
a = vertical (amplitude) dilation = 3
b = horizontal (period) compression = 2π/period = 3
c = horizontal shift = π/3 to the left
d = vertical shift = -2
Answer:
n=-8.86
Step-by-step explanation:
Slope will determine the direction and the steepness of a function. It could be either increasing/decreasing depend on minus or plus. The formula for slope is
m= (y2-y1)/ (x2-x1)
If you add (n,-6) and (-9,-4) to the equation, it will be:
m= (y2-y1)/ (x2-x1)
-15= (-6--4)/ (n--9)
-15= (-2)/ (n+9)
-15(n+9) = -2
-15n - 135=-2
-15n= -2 + 135
n= -133/15
n= -8 13/15= -8.86
