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Worked example · Intersections

Question

y = x2 − 4x + 1
y = 2x + 8

The graphs intersect at two points. What is the positive x-coordinate of an intersection?

  1. A 5
  2. B 6
  3. C 7✓
  4. D 8
Read the intersection.

The point is (7, 22), so the answer is C. 7.

Desmos solution

  1. 1
    y = x2 − 4x + 1Graph the parabola
  2. 2
    y = 2x + 8Graph the line
Desmos graph of y = x² − 4x + 1 and y = 2x + 8, with the positive intersection labeled (7, 22).

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