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IB Mathematics: Applications and Interpretation HL · 12.5: Functions · 12.5.5

Translations of graphs Problem set A Answers

Skills

    1. (a) A'(−5, 1), B'(−2, 4), C'(1, 0), D'(4, 3)
    2. (b) A'(−5, −5), B'(−2, −2), C'(1, −6), D'(4, −3)
    1. (a) A'(−8, −1), B'(−5, 2), C'(−2, −2), D'(1, 1)
    2. (b) A'(−3, −1), B'(0, 2), C'(3, −2), D'(6, 1)
    1. (a) \(y=3x^2+4\)
    2. (b) \(y=x^4-6\)
    1. (a) \(y=(x+2)^4\)
    2. (b) \(y=5(x-1)^2\)
    1. (a) \(y=x^{2} - 2 x + 3\)
    2. (b) \(y=2 x^{2} - 3 x - 2\)

In context

    1. (a) \(h_2(t)=- 5 t^{2} + 40 t - 60\)
    2. (b) t = 4 seconds
    1. (a) A'(−2, 5), B'(1, 1), C'(4, 4), D'(7, 2)
    2. (b) 2 right and 3 up

Stretch

  1. \(y=x^{2} - 10 x + 24\)

    1. (a) 3 units to the left
    2. (b) \(y=x^{2} - 1\)

jmaths.xyz · AI HL · 12.5.5 Translations of graphs