Further Graphical Techniques Quiz
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5 questions, one answer each
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1. What shape does the graph of a quadratic function produce?
- A. A) A straight line
- B. B) A parabola
- C. C) An S-shaped curve
- D. D) Two separate branches
2. What point does the graph of y = kˣ (k > 0) always pass through?
- A. A) (1, 0)
- B. B) (0, 0)
- C. C) (0, 1)
- D. D) (1, 1)
3. What transformation does f(x + 3) apply to the graph of f(x)?
- A. A) Shifts it right by 3
- B. B) Shifts it left by 3
- C. C) Shifts it up by 3
- D. D) Reflects it in the y-axis
4. What does the transformation af(x) do to a graph, for a constant a?
- A. A) Stretches it horizontally by scale factor a
- B. B) Stretches it vertically by scale factor a
- C. C) Shifts it up by a
- D. D) Reflects it in the x-axis
5. How do you estimate the gradient of a curve at a given point?
- A. A) Divide the y-value by the x-value at that point
- B. B) Draw a tangent to the curve at that point and find its gradient
- C. C) Find the average gradient over the whole curve
- D. D) Count the number of turning points