Respuesta :
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
[tex]\frac{\pi}{2}[/tex]That means
[tex]C=-\frac{\pi}{2}[/tex]The vertical shift down is 4 units.
That means
D= - 4.
Answer :
The equation modelling function g is determined as
[tex]g(x)=3\sin (x-\frac{\pi}{2})-4[/tex]