Question

Which of the following equations is the translation 2 units up of the graph of y= 1x1

1.y=1x-21

2.y=1x+21

3.y=1x1-2

4.y=1x1+2

Answer 1

4. y = |x| + 2

Explanation:

Answer 2

4. y = |x| + 2

Explanation:

"g(x) = |x| + k" means that f(x) will be translated however many units up or down depending on k. If k is positive, the graph will translate up. If k is negative, the graph will translate down. Because we need to translate up, the value of k needs to be positive. The best answer choice is choice 4, y = |x| + 2.

We can eliminate choices 1 and 2 because the way the equations are set up are for the horizontal translations.

g(x) = |x - h| are for horizontal translations.

g(x) = |x| + k are for vertical translations.

The third choice is wrong as well because k is negative, not positive.

hope this helps!