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 unitsSubstitute the values of A, C, and D to complete the equation modeling function g.g(x) = Asin(x+ c)+D

Answer 1

Given :

The transformation for the parent sine function is given as

• vertical stretch by a factor of 3

• horizontal shift left pi/ 2 units

• vertical shift down 4 units

Explanation :

We have to determine the function g(x) , by substitute the value A,C and D.

The vertical stretch of sine function is given 3.

That means

A=3.

The horizontal shift left equal to

`(\pi)/(2)`

That means

`C=-(\pi)/(2)`

The vertical shift down is 4 units.

That means

D= - 4.

Answer :

The equation modelling function g is determined as

`g(x)=3\sin (x-(\pi)/(2))-4`