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Pearson Edexcel IAL Mathematics P1.1.3 Quadratic functions & their graphs

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

P1.1.3 - Quadratic functions and their graphs 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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