2.11 Transformations of graphs

2.11 Transformations of graphs Quiz

IB Maths: Analysis and Approaches SL: Quiz

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  1. 1. The graph of y=x2y = x^{2} is translated 5 units left. What is the new equation?

    • A. y=x2−5y = x^{2} - 5
    • B. y=(x−5)2y = (x - 5)^{2}
    • C. y=(x+5)2y = (x + 5)^{2}
    • D. y=x2+5y = x^{2} + 5

  2. 2. The point (4,−2)(4, -2) lies on y=f(x)y = f(x). Which point lies on y=f(−x)y = f(-x)?

    • A. (4,2)(4, 2)
    • B. (−4,−2)(-4, -2)
    • C. (−4,2)(-4, 2)
    • D. (−2,4)(-2, 4)

  3. 3. Which transformation maps y=exy = e^{x} onto y=e4xy = e^{4x}?

    • A. Horizontal stretch, scale factor 14\frac{1}{4}
    • B. Horizontal stretch, scale factor 4
    • C. Vertical stretch, scale factor 4
    • D. Translation 4 units right

  4. 4. The graph of y=f(x)y = f(x) has a maximum at (3,8)(3, 8). Where is the maximum of y=f(x)−8y = f(x) - 8?

    • A. (3,16)(3, 16)
    • B. (−5,8)(-5, 8)
    • C. (11,8)(11, 8)
    • D. (3,0)(3, 0)

  5. 5. y=x2y = x^{2} is reflected in the xx-axis and then translated up 1. What is the result?

    • A. y=−x2−1y = -x^{2} - 1
    • B. y=1−x2y = 1 - x^{2}
    • C. y=−(x−1)2y = -(x - 1)^{2}
    • D. y=x2−1y = x^{2} - 1

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