Question

Find a, b, and h so that f(x) = asin(b(x-h)). Given f(x) = sin2x - 3cos2x, find a, b, and h.

a) a = -3, b = 2, h = 0
b) a = 2, b = -3, h = 0
c) a = -3, b = 1, h = π/2
d) a = 1, b = -3, h = π/2

Answer 1

The values for a, b, and h in the equation f(x) = asin(b(x-h)) when f(x) = sin(2x) - 3cos^2(2x) are a = -3, b = 2, and h = 0.

Step-by-step explanation:

To find the values of a, b, and h in the equation f(x) = asin(b(x-h)) when f(x) = sin(2x) - 3cos^2(2x), we can use the given equation and compare it to the standard form of the equation f(x) = asin(b(x-h)). By comparing the equations, we can determine that a = -3, b = 2, and h = 0. Therefore, the correct answer is option a) a = -3, b = 2, h = 0.