Question

Find a transformation of sin(x) that gives the following a. b.

Answer 1

Answer:

a) f(x) = 3sin(2x - π/2) + 1

b) f(x) = 2sin(2x + π) + 2

Step-by-step explanation:

∵ f(x) = Asin(Bx - C) + D

Where ΙAΙ is the the amplitude , 2π/ΙBΙ is the period , -C/B is the horizontal shift and D is the vertical shift

a) The amplitude is 3

   The period is π

    Shift phase: horizontally π/4 to the right , vertically 1 unit up

b) The amplitude is 2

   The period is π

    Shift phase: horizontally π/2 to the left , vertically 2 unit up