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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 246

The diagram shows the curve with equation y=f(x)y = f(x)y=f(x). The curve meets the xxx-axis at (−2,0)(-2, 0)(−2,0) and (4,0)(4, 0)(4,0), and has a maximum point at (1,9)(1, 9)(1,9).

Figure for question 5

a.

On separate axes, sketch the curve with equation y=f(x+2)y = f(x + 2)y=f(x+2), stating the coordinates of its maximum point and of the points where it meets the xxx-axis.

[3]
b.

On separate axes, sketch the curve with equation y=3f(x)y = 3f(x)y=3f(x), stating the coordinates of its maximum point.

[2]
Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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