A Level Pure Mathematics

Functions and Graphs Questions and Answers

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Question 1 of 6graph transformations

The diagram shows the graph of $y = f(x)$ , passing through $A(-1, 0)$ , $B(0, 1)$ and $C(1, 0)$ . On the graph of $y = f(-x) + 3$ , the image of $B$ is

Questions on this topic

Paper 1graph transformations
The diagram shows the graph of y = f(x), passing through A(-1, 0), B(0, 1) and C(1, 0). On the graph of y = f(-x) + 3, the image of B is
Paper 1graph transformations
The diagram shows the graph of y = f(x), passing through A(-1, 0), B(0, 1) and C(1, 0). On the graph of y = 2f(x + 1), the image of C is
Paper 1modulus / inequalities
Find the set of values of x which satisfy |3x + 2| < -x + 1.
Paper 1modulus / inequalities
Given that -4 < x < 2 is the solution of the inequality |x + a| < b, find the values of a and b.
Paper 1functions / inverse functions
Find the inverse of f(x) = ax + b, where a \ne 0 and b are constants.
Paper 1Modulus / inequalities
Solve the inequality |x-1| < x.

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Trigonometry Complex Numbers Logarithms and Exponentials

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