Please help me find the rule?

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1 Answer
Somebody N.
May 11, 2018

#color(blue)(C)#

Explanation:

The answer is C

Think about the type of functions you have:

They are all functions of straight lines:

#y=mx+b#

When we translate in the vertical direction only the y coordinates change in this case the y intercept. The line in relation to the x axis doesn't change. So translating down 4 units we subtract this from the original equation.

#3x-4#

#x-2-4=x-6#

The inequalities are for the variable x and these do not change:

#3x-4 , \ \ \ x>0#

#x-6 , \ \ \ \ \ x<=0#

The graph confirms this:

enter image source here

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