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.

option:B

Step-by-step 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.  

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