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

Translations of graphs Problem set B Answers

Skills

    1. (a) A'(−4, 3), B'(−1, 6), C'(2, 2), D'(5, 5)
    2. (b) A'(−4, −5), B'(−1, −2), C'(2, −6), D'(5, −3)
    1. (a) A'(−8, 0), B'(−5, 3), C'(−2, −1), D'(1, 2)
    2. (b) A'(−1, 0), B'(2, 3), C'(5, −1), D'(8, 2)
    1. (a) \(y=4x^2-3\)
    2. (b) \(y=x^5+8\)
    1. (a) \(y=(x-5)^6\)
    2. (b) \(y=3(x+4)^3\)
    1. (a) \(y=x^{2} - 2 x - 12\)
    2. (b) \(y=3 x^{2} - 13 x + 16\)

In context

    1. (a) \(h_2(t)=- 5 t^{2} + 60 t - 135\)
    2. (b) t = 6 seconds
    1. (a) A'(−5, 0), B'(−2, −4), C'(1, −1), D'(4, −5)
    2. (b) 2 left and 3 down

Stretch

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

    1. (a) 5 units to the left
    2. (b) \(y=x^{2} - 4\)

jmaths.xyz · AI HL · 12.5.5 Translations of graphs