If a function y = |x| has shifted 4 units left and 2 units up, the equation for the new function is: a) y = |x+4| - 2 b) y = |x+4| + 2 c) y = |x-4| - 2 d) y = |x-4| + 2
embizze | Certified Educator
Give the equation if f(x)=|x| has been translated 4 units left and 2 units up:
f(x)=|x-h|+k will be translated h units left/right and k units up/down.
So the equation will be y=|x+4|+2
The answer is B.
The graph of y=|x| in black and y=|x+4|+2 in red: