Which transformations are needed to change the parent sine function to the sine function below? On a coordinate plane, a curve crosses the y-axis at y = 1.5. It has a minimum at y = 0.5 and a maximum at y = 1.5. It goes through one cycle at 4 pi. Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up, phase shift of Pi units left vertical stretch of 2, horizontal compression to a period of 4 pi, vertical shift of 2 units up, phase shift of Pi units left vertical stretch of One-half, horizontal compression to a period of 2 pi, vertical shift of 1 unit up, phase shift of Pi units left vertical compression of One-half, horizontal stretch to a period of 2 pi, vertical shift of 1 unit down, phase shift of Pi units left

Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up and a phase shift of pi units left

Step-by-step explanation:

The parameters of the sine function are;

The point the curve crosses the y-axis (at x = 0) = 1.5

The minimum of the curve is y = 0.5

The maximum is y = 1.5

The time it goes through one cycle = 4 pi

The general form of the sine function is presented as follows;

y = A·sin(B·(x - C)) + D

From the given information, we have;

A = 0.5

The period = 4·π = 2·π/B

∴ B = 1/2

At x = 0, y = max, therefore, B·(x - C) = (1/2)·(0 - C) = π/2

∴ C = -π

D = 1

Therefore, the given sine function can be presented as follows;

y = 0.5·sin((1/2)·(x - π)) + 1

Therefore, the transformation needed to change the parent sine function to the given sine function are

Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up and a phase shift of pi units left

3x3 = 9 and 2x2 = 4

step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.