Question

Which statement best describes a method that can be used to sketch the graph. y = |x - 2| a. Translate the graph of y = |x| two units left. b. Translate the graph of y = |x| two units down. c. Translate the graph of y = |x| two units right. d. Translate the graph of y = |x| two units up.

Answer 1

f(x) + n - translate the graph of f(x) n units up

f(x) - n - translate the graph of f(x) n units down

f(x + n) - translate the graph of f(x) n units left

f(x - n) - translate the graph of f(x) n units right

--------------------------------------------------------------------------

We have

y = |x - 2|

f(x) = |x| → f(x - 2) = |x - 2|

Answer: c. Translate the graph of y = |x| two units right.