Advanced MathEasy–MediumVertex form from a lowest point
Advanced Math practice question
The graph of a quadratic function in the xy-plane has its lowest point at (2, −3). Which equation could define the function?
- A. y = (x − 2)² − 3Correct
- B. y = (x + 2)² − 3
- C. y = (x − 2)² + 3
- D. y = (x + 2)² + 3
Answer: A. y = (x − 2)² − 3
In y = (x − h)² + k the vertex is (h, k); with h = 2 and k = −3 this is (x − 2)² − 3.
Why the other answers are wrong
- B. y = (x + 2)² − 3
- Vertex (−2, −3).
- C. y = (x − 2)² + 3
- Vertex (2, 3).
- D. y = (x + 2)² + 3
- Vertex (−2, 3).
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