Question

Which transformations are needed to change the parent sine function to

y = one-fourth sine (4 (x + StartFraction pi Over 6 EndFraction))

Answer 1

B. vertical compression of 1/4, horizontal compression to a period of pi/2, phase shift of pi/6 units to the left

Answer 2

9514 1404 393

Answer:

• vertical compression by a factor of 4
• horizontal compression by a factor of 4
• horizontal left shift by π/6

Explanation:

The leading multiplier of 1/4 compresses the function by a factor of 4 vertically.

The multiplier 4 of x compresses the graph horizontally by a factor of 4.

The addition of π/6 to x causes the graph to be left-shifted by π/6.