Advanced MathMediumy-coordinate of a particular intersection point
Advanced Math practice question
In the xy-plane, the graphs of y = x² − 3 and y = 2x intersect at two points. What is the y-coordinate of the intersection point that has the greater x-coordinate?
Answer: 6
Set equal: x² − 3 = 2x, so x² − 2x − 3 = (x − 3)(x + 1) = 0, x = 3 or −1. The greater x is 3, and y = 2(3) = 6.
Common wrong answers
- If you answered 3
- 3 is the x-coordinate of that point, not its y-coordinate.
- If you answered -2
- −2 is the y-coordinate of the OTHER intersection point (x = −1).
- If you answered -1
- −1 is the smaller x-coordinate.
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