Question

Enter the correct answer in the boxFunction gis the result of these transformations on the parent sine function:• vertical stretch by a factor of 3• horizontal shift lere unitsvertical shift down 4 unitsSubstitute the values of A C and D to complete the equation modeling function g.sin cos tan sin costan!öAteVO0 0>S2CSC seccot tog log innU 00001.g(x) = Asin(x + C) + D

Answer 1

g(x) = 3sin(x + π/2) - 4

Step-by-step explanation:

In a function

g(x) = Asin(x + C) + D

A is the vertical stretch,

C is the horizontal shift, it is positive to the left and negative to the right

D is the vertical shift, it is positive when it is up and it negative when it is down.

In this case, we want a vertical stretch by a factor of 3, so A = 3

A horizontal shift left π/2 units, so C = π/2

And a vertical shift of 4 units down, so D = -4.

Then, the equation is:

g(x) = 3sin(x + π/2) - 4