Advanced MathMediumWhere a horizontal line meets a parabola away from the y-axis
Advanced Math practice question
In the xy-plane, the line y = 3 intersects the graph of y = x² − 4x + 3 at two points. What is the x-coordinate of the intersection point that does not lie on the y-axis?
Answer: 4
x² − 4x + 3 = 3 → x² − 4x = 0 → x(x − 4) = 0. The points are (0, 3) and (4, 3); the one off the y-axis has x = 4.
Common wrong answers
- If you answered 0
- 0 is the point on the y-axis.
- If you answered 2
- 2 is the axis of symmetry.
- If you answered 3
- 3 is the y-value of the line, not an x-coordinate.
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