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Black Book Advanced Problems in MathematicsMathematicsFunctions

Given the graph of y = f(x) below: Match the functions in Column-I with their correct graphs in Column-II: array |l|l| Column-I (Function) & Column-II (Graph) (A) y = f(1-x) [Reflection about x = 1 2 ] & (P) Graph shifted: passes through (-1,-2), (0,0), (1,1), (2,0) (B) y = f(2x) [Horizontal compression by 2] & (Q) Original f(x) — peaks at (0,1) (C) y = -2f(x) [Vertical flip and scale 2 ] & (R) Graph compressed: peak

Options

  1. A(a) (A) (P); (B) (Q); (C) (R); (D) (S)
  2. B(b) (A) (Q); (B) (P); (C) (S); (D) (R)
  3. C(c) (A) (R); (B) (S); (C) (P); (D) (Q)
  4. D(d) (A) (S); (B) (R); (C) (Q); (D) (P)

Correct answer

A. (a) (A) (P); (B) (Q); (C) (R); (D) (S)

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