Advanced MathEasyReading the vertex from vertex form
Advanced Math practice question
In the xy-plane, what is the vertex of the graph of y = (x − 2)² + 1?
- A. (2, 1)Correct
- B. (−2, 1)
- C. (2, −1)
- D. (1, 2)
Answer: A. (2, 1)
In y = (x − h)² + k the vertex is (h, k): here (2, 1).
Why the other answers are wrong
- B. (−2, 1)
- The sign inside the bracket is reversed: (x − 2) puts the vertex at x = 2.
- C. (2, −1)
- The +1 puts the vertex at y = 1, not −1.
- D. (1, 2)
- The coordinates are swapped.
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