Question

Please help!!

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.

Answer 1

By substituting the values of A, C, and D the equation modelling the function is;g(x) = 3·sin(x - π/2) - 4

Explanation:

From the given information, we have;The vertical stretch of the sine function = 3 × The parent function∴ A = 3Given that the horizontal shift left = π/2 units, (from an online source with similar question)The vertical shift down = 4 unitsThe given function, g is g(x) = A·sin(x + C) + DWhere;A = The amplitude = The maximum displacement from the rest or equilibrium position = 3C = 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