Composite transformations of curves

Composite transformations of curves Quiz

Spec D16 · AQA A-Level Further Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. The curve y=f(x)y=\mathrm{f}(x) is rotated through 180∘180^\circ about the origin. What is the equation of the image?

    • A. y=−f(x)y=-\mathrm{f}(x)
    • B. y=f(−x)y=\mathrm{f}(-x)
    • C. y=−f(−x)y=-\mathrm{f}(-x)
    • D. x=−f(y)x=-\mathrm{f}(y)

  2. 2. The curve y=x2y=x^2 is enlarged with scale factor 3, centre the origin. What is the image?

    • A. y=3x2y=3x^2
    • B. y=x23y=\dfrac{x^2}{3}
    • C. y=9x2y=9x^2
    • D. y=x29y=\dfrac{x^2}{9}

  3. 3. The point (2,5)(2,5) is rotated through 90∘90^\circ anticlockwise about the origin. Where does it go?

    • A. (−5,2)(-5,2)
    • B. (5,−2)(5,-2)
    • C. (−2,−5)(-2,-5)
    • D. (−2,5)(-2,5)

  4. 4. y=x2y=x^2 is translated by (20)\begin{pmatrix} 2 \\ 0 \end{pmatrix} and then stretched with scale factor 2 parallel to the yy-axis. What is the image?

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

  5. 5. The curve y=exy=\mathrm{e}^x is rotated through 90∘90^\circ clockwise about the origin. What is the image?

    • A. y=ln⁡xy=\ln x
    • B. y=ln⁡(−x)y=\ln(-x)
    • C. y=−ln⁡xy=-\ln x
    • D. y=−e−xy=-\mathrm{e}^{-x}

Quiz