What's the equation?

Question

Your parent function is y = sin x.

Vertical shift: Up 2 units

Vertical dilation (amplitude) factor: -3

Horizontal shift: ℼ/2 left

What would be the equation?

Answer 1

The general equation is:

y = Asin(B(x-C)) + D

1. A = amplitude = -3
2. B = 2π/period = 1 (no change)
3. C = horizontal shift = -π/2
4. D = vertical shift = 2

Plug the numbers into the general equation.