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1.4.3 Completing the square for a quadratic curve

1.4.3 Completing the square for a quadratic curve

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Question 4

A curve has equation y=2(x−p)2−8y=2(x-p)^2-8y=2(x−p)2−8, where p p\,p is a constant, and its minimum point has xxx-coordinate 3.

a.

State the value of p p\,p and the coordinates of the minimum point.

[2]
b.

Find the exact coordinates of the points where the curve meets the xxx-axis.

[3]
Markscheme

1.4.3 Completing the square for a quadratic curve Questions

  1. A Level
  2. /Maths
  3. /1.4.3 Completing the square for a quadratic curve

8 exam-style questions on OCR (MEI) A Level Maths 1.4.3 Completing the square for a quadratic curve. Each one has a worked solution and a mark scheme showing where the marks go.

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