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3.1 Algebra and functions (A-level only)

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Question 84

The point P(−6,−4)P(-6, -4)P(−6,−4) lies on the curve with equation y=f(x)y = f(x)y=f(x), x∈Rx \in \mathbb{R}x∈R.

Find the coordinates of the point to which PPP is mapped when the curve with equation y=f(x)y = f(x)y=f(x) is transformed to the curve with equation:

a.

y=f(3x)y = f(3x)y=f(3x)

[2]
b.

y=2f(x+2)y = 2f(x + 2)y=2f(x+2)

[3]
c.

y=∣f(x)∣y = |f(x)|y=∣f(x)∣

[2]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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