alleryStart learning →The graph of $f(x) = |x| + 2$ is the graph of $y = |x|$ shifted in which direction?
AUpward by 2 units
BDownward by 2 units
CLeft by 2 units
DRight by 2 units
Answer & Solution
Correct answer: A. Upward by 2 units
Adding a positive constant to a function shifts its graph upward.
So $|x| + 2$ shifts $y = |x|$ upward by 2 units, lifting the V-shape's vertex from the origin to $(0, 2)$.
Subtracting a constant would shift downward
modifying the input inside $|\cdot|$ shifts left or right.
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