# Maths Paper 1, November 2024, question 6.3

> The diagram below shows the parabola f(x) = -x^2 + 6x + 7 and the straight line g(x)... Marked mark by mark. Q6.3, Maths Paper 1 November 2024, 4 marks.

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Last updated: 2026-11-12

Subject: Maths. Source: Based on Nov 2024 · Paper 1 · Q6.3. Marks: 4. Not yet checked by a teacher.

## Question 6.3 (4 marks)

The diagram below shows the parabola $f(x) = -x^{2} + 6x + 7$ and the straight line $g(x) = 2x + 2$. The two graphs cross at A on the x-axis and at C$(5;12)$. A vertical segment EH joins a point E on $f$ to a point H on $g$, somewhere between A and C where the parabola lies above the line. Determine the greatest possible length of EH.

Figure: Graph of a parabola f that opens downwards and a straight line g that slopes upwards. They cross at point A on the x-axis, left of the y-axis, and at C(5; 12). A vertical segment EH joins a point E on the parabola to a point H on the line, between A and C.

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