Graphs of Non-Linear Functions Quiz
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5 questions, one answer each
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1. Which of the following correctly describes the graph of y = x³?
- A. A parabola with a turning point at the origin
- B. A curve that passes through the origin with rotational symmetry of order 2 about the origin
- C. A straight line with gradient 3
- D. A curve with two turning points and a vertical asymptote
2. For the quadratic function y = (x + 2)² - 5, what are the coordinates of the turning point?
- A. (-2, -5)
- B. (2, -5)
- C. (-2, 5)
- D. (0, -1)
3. The graph of y = f(x) is transformed to y = f(x - 3) + 2. How does the graph move?
- A. 3 units left and 2 units up
- B. 3 units right and 2 units down
- C. 3 units right and 2 units up
- D. 3 units left and 2 units down
4. A circle has equation x² + y² = 36. Which of the following points lies on the circle?
- A. (4, 5)
- B. (6, 0)
- C. (3, 6)
- D. (5, 5)
5. The tangent to the circle x² + y² = 25 at the point (3, 4) intersects the y-axis at point P. What is the y-coordinate of P?
- A. 25/4
- B. 25/3
- C. 16/3
- D. 4