Question

Enter the correct answer in the box. Function g is the result of these transformations on the parent sine function: vertical stretch by a factor of 3 horizontal shift left units vertical shift down 4 units Substitute the values of A, C, and D to complete the equation modeling function g. g(x) = Asin(x + C) + D

Answer 1

Answer:

By substituting the values of A, C, and D the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Step-by-step explanation:

From the given information, we have;

The vertical stretch of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units, (from an online source with similar question)

The vertical shift down = 4 units

The given function, g is g(x) = A·sin(x + C) + D

Where;

A = The amplitude = The maximum displacement from the rest or equilibrium position = 3

C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Answer 2

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

shifted left, it will be positive inside the parentheses