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1.5 B: Algebra and functions

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Question 99
70%

A curve with equation y=a(x+b)2+cy = a(x + b)^2 + cy=a(x+b)2+c has a minimum turning point at (3,8)(3, 8)(3,8)

a.

State the values of b b\,b and ccc.

[2]
b.

When the curve is translated by the vector (−40)\begin{pmatrix} -4 \\ 0 \end{pmatrix}(−40​) the curve passes through the point (−6,13)(-6, 13)(−6,13). Find the value of aaa.

[3]
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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