Parabolas and Lines

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Questions and Answers

Which of the following represents the coordinates of the points of intersection of the parabola y=x^2 and the line y=x+2?

  • (2,4) and (-2,0)
  • (-2,0) and (-1,1) (correct)
  • (1,2) and (-1,0)
  • (0,2) and (-2,0)

What is the equation of the line that is tangent to the parabola y=x^2 at the point (1,1)?

  • y=2x-1 (correct)
  • y=x+1
  • y=x
  • y=2x

What is the area of the region bounded by the parabola y=x^2 and the line y=x+2?

  • 3/2
  • 7/2
  • 9/2
  • 5/2 (correct)

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