Question

Function g is the result of these transformations on the parent sine function:

-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)

Answer 1

g(x) = 3·sin(x + π/2) - 4

Explanation:

The given (general form of a) sin function is g(x) = A·sin(x + C) + D

Where;

A = The amplitude (the vertical stretch) = 3

C = The phase shift, left = π/2

D = The vertical shift = 4 units down = -4

Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;

g(x) = 3·sin(x + π/2) - 4