Advanced MathEasy–MediumVertex of a shifted absolute-value graph
Advanced Math practice question
In the xy-plane, the graph of f(x) = |x − 3| is shifted 2 units to the right. What is the x-coordinate of the vertex of the shifted graph?
Answer: 5
The vertex of |x − 3| is at x = 3. Shifting right by 2 moves it to x = 5. (The new function is |x − 5|.)
Common wrong answers
- If you answered 1
- 1 shifts the wrong way.
- If you answered 2
- 2 is the shift, not the new position.
- If you answered 3
- 3 is the original vertex.
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