Question

What is the value of h in the translation of the given function? Describe the phase shift (use a phrase like 3 units to the left).

g(x) = f(x +6)

A- h = 6; the phase shift is 6 units to the right.


B- h = 6; the phase shift is 6 units to the left.


C- h = 6; the phase shift is 6 units up.


D- = -6; the phase shift is -6 units to the left.

Answer 1

B- h = 6; the phase shift is 6 units to the left

Answer 2

option:B

Explanation:

We know that for any given function f(x) the transformation of the type f(x+h) is a shift of the function either right or left. if this h<0 then the shift is a right shift;and if this h>0 then the shift is a left shift by h-units.

here we are given that g(x)=f(x+6)

so, here h=6>0, hence the shift is a left shift by 6 units.

Hence, option B is correct.