Question

Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))? vertical compression of 3, horizontal stretch to a period of 5 pi, phase shift of pi units to the left vertical stretch of 3, horizontal compression to a period of StartFraction pi Over 5 EndFraction, phase shift of Pi units to the right vertical compression of 3, horizontal stretch to a period of 10p, phase shift of Pi units to the right vertical stretch of 3, horizontal compression to a period of StartFraction pi Over 5 EndFraction, phase shift of Pi units to the left

Answer 1

B. vertical stretch of 3, horizontal compression to a period of StartFraction pi Over 5 EndFraction, phase shift of Pi units to the right

Step-by-step explanation:

Answer 2

vertical stretch of 3, horizontal compression to a period of π/5, phase shift of π units to the right

Step-by-step explanation:

The parent function f(x) = cos(x) has been transformed to ...

y = A·f((2π/B)(x -C))

where A = 3, B = π/5, C = π

In this form, A is the vertical stretch factor, B is the period, and C is the right shift.

The function has been ...

• vertically stretched by a factor of 3
• horizontally compressed to a period of π/5
• right shifted by π

This collection of transformations matches the 2nd choice in this list.