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Edexcel A-Level Mathematics AS P1.1.3 Quadratic Functions and Their Graphs Questions

Practise forming, sketching and interpreting quadratic graphs from roots, intercepts, turning points and given coordinates.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • find a quadratic equation from roots, intercepts or a stated point on the curve
  • sketch a quadratic showing intercepts, turning point behaviour and relevant coordinates

Edexcel A-Level Mathematics AS P1.1.3 Quadratic Functions and Their Graphs Questions question 1

[Maximum number: 4]
Figure 2

Figure 2

Figure 2 shows a sketch of the straight line l and the curve C.
Given that l cuts the y-axis at -12 and cuts the x-axis at 4, as shown in Figure 2,

Given that C
- has equation y=f(x) where f(x) is a quadratic expression
- has a minimum point at (7,-18)
- cuts the x-axis at 4 and at k, where k is a constant

Question (a)

(a)

deduce the value of k,

[ 1 ]

Question (b)

(b)

find f(x).

[ 3 ]
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