Answer:
y = 1/4 x -3
Step-by-step explanation:
y = -4x + 3;
the slope of this equation is -4
we want the slope perpendicular to this
take the negative reciprocal
- (-1/4) = 1/4
so the slope of our line will be 1/4
we have the slope and a point so we can use point slope form
y-y1 = m (x-x1)
y--2 = 1/4(x-4)
y+2 = 1/4 (x-4)
we need to change it to slope intercept form (y=mx+b)
distribute
y+2 = 1/4 x -1/4*4
y+2 = 1/4x -1
subtract 2 from each side
y +2-2 = 1/4 x -1-2
y = 1/4 x -3
the slope is 1/4 and the y intercept is -3
-6.3 into a fraction is -6 and 3/10. its a mixed number!
Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is

Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
Answer: -79, 21, 46, 80
Step-by-step explanation: