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Oak MathsTest · Maths

Problem solving with graph transformations

The starter and exit quiz of the lesson “Problem solving with graph transformations”, from the unit “Transformations of graphs” (Year 11 Maths) by Oak National Academy.

Free to use. Edit it, share it and hand it out to your students.

Oak National Academy

12 questions

  1. Match the transformed functions of \text {f}(x) to their descriptions.
  2. The graph of y= \text{f}(x) is labelled. What other function of x has been graphed?
  3. The graph of y= \text{f}(x) is labelled. What other function of x has been graphed?
  4. The graph of y= \text{g} (x) is labelled. What other function of x has been graphed?
  5. An __________ is a line which a curve approaches but never touches.
  6. Which of these is equivalent to x^2 - 4x + 6?
  7. The graph of y=x^2 has been transformed to get a new graph. What is the equation of this new graph?
  8. The graph of y=x^2 has been transformed to get a new graph. What is the equation of this new graph?
  9. The graph of y=x^2 has been transformed to get a new graph. What is the equation of this new graph?
  10. The graph of y=x^2-2x has been transformed to get a new graph. What is the equation of this new graph?
  11. The graph of \text{f}(x)=2^x + 1 has an asymptote at y=1. Match up the transformations with the equation of the asymptote after the transformation.
  12. The graph of \text{f}(x)= \text{tan}(x) where -90 \le x \le 90 has asymptotes at x=-90 and x=90, which of these transformations will not change the position of the asymptotes ?

License: OGL

Problem solving with graph transformations · Examplary