Question

transforming trigonometric functions: mastery test 1 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 $\frac{pi}{2}$ units vertical shift down 4 units substitute the values of a, c, and d to complete the equation modeling function g. $g(x)=asin(x + c)+d$

Explanation:

Step1: Determine the value of A

Vertical stretch by a factor of 3 means $A = 3$.

Step2: Determine the value of C

Horizontal shift left $\frac{\pi}{2}$ units. For $y = \sin(x + C)$, when shifting left by $\frac{\pi}{2}$ units, $C=\frac{\pi}{2}$.

Step3: Determine the value of D

Vertical shift down 4 units gives $D=- 4$.

Answer:

$g(x)=3\sin(x + \frac{\pi}{2})-4$