Question

Find the function that describes the graph of f( x ) = | x | translated 2 units to the right. (Need answer in less than 2 hours!)

Answer 1

Answer: (c) g(x) = |x - 2|

Explanation:

Consider h(x) = |x - h| + k

• h represents the horizontal shift (positive=Right, negative=Left)

• k represent the vertical shift (positive=Up, negative=Down)

f(x) = |x|

g(x) = |x - (+2)|

↓

positive means to the right

simplify: g(x) = |x - 2|