Advanced MathMediumDistance between the x-intercepts of a parabola
Advanced Math practice question
The graph of f(x) = x² − 6x + 5 in the xy-plane has two x-intercepts. What is the distance between them?
Answer: 4
Factor: x² − 6x + 5 = (x − 1)(x − 5), so the x-intercepts are at x = 1 and x = 5. The distance between them is 5 − 1 = 4.
Common wrong answers
- If you answered 3
- 3 is the x-coordinate of the vertex, halfway between the intercepts.
- If you answered 5
- 5 is one intercept, not the gap between them.
- If you answered 6
- 6 is the sum of the intercepts (and the axis of symmetry is at x = 3), not the distance.
More Advanced Math questions
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If √(x + 5) = 4, what is the value of x? - Medium
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What are the solutions to x² + 6x + 8 = 0?
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