Advanced MathEasyMirror-image points on a parabola
Advanced Math practice question
The graph of y = x² passes through the point (3, 9). Because the graph is symmetric about the y-axis, which other point must it also pass through?
- A. (−3, 9)Correct
- B. (3, −9)
- C. (−3, −9)
- D. (9, 3)
Answer: A. (−3, 9)
Reflecting (3, 9) across the y-axis gives (−3, 9), and (−3)² = 9.
Why the other answers are wrong
- B. (3, −9)
- (3, −9) is a reflection across the x-axis; y = x² is never negative.
- C. (−3, −9)
- (−3)² = 9, not −9.
- D. (9, 3)
- Swapping the coordinates is not a reflection across the y-axis.
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