Advanced MathEasy–MediumIdentifying a parabola from its vertex and direction
Advanced Math practice question
Which of the following equations has a graph in the xy-plane that is a parabola with vertex (−1, 4) opening upward?
- A. y = (x + 1)² + 4Correct
- B. y = (x − 1)² + 4
- C. y = −(x + 1)² + 4
- D. y = (x + 1)² − 4
Answer: A. y = (x + 1)² + 4
Vertex form y = a(x − h)² + k with (h, k) = (−1, 4) and a > 0: y = (x + 1)² + 4.
Why the other answers are wrong
- B. y = (x − 1)² + 4
- (x − 1)² puts the vertex at x = 1.
- C. y = −(x + 1)² + 4
- The negative sign makes it open downward.
- D. y = (x + 1)² − 4
- −4 puts the vertex at y = −4.
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