Graphs of Quadratic Functions · CSEC Mathematics

28 past-paper questions on Graphs of Quadratic Functions, part of RELATIONS, FUNCTIONS AND GRAPHS, from every CSEC Mathematics paper on Quelpr.

1. 8(b)(i)3 marks· CSEC Mathematics · 2021 · Paper 2On the grid provided on page 25, plot the remaining 4 points and draw the graph of the function y = x^2 + x - 4 for -4 \le x \le 3.
2. 4(b)4 marks· Mathematics Q4 4(b)On the graph on page 13, plot the graph of y = x²-2x-3 using a scale of 2 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis.
3. 4(c)1 mark· Mathematics Q4 4(c)On the graph on page 13, draw a smooth curve passing through the points on your graph.
4. 5(a)2 marks· Mathematics Q5 5(a)values of a and b which define the domain of the graph
5. 5(b)(ii)10 marks· Mathematics Q5 5(b)(ii)Using a scale of 2 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis, draw the graph of y = x² - 3x for -2 ≤ x ≤ 5.
6. 5(b)(ii)5 marks· Mathematics Q5 5(b)(ii)Using a scale of 2 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis, draw the graph of y = x² + 2x - 3 for -4 ≤ x ≤ 2.
7. 5(c)2 marks· Mathematics Q5 5(c)coordinates of the minimum point on the graph
8. 6(a)(i)1 mark· Mathematics Q6 6(a)(i)Determine the value of x.
9. 6(a)(ii)1 mark· Mathematics Q6 6(a)(ii)Determine the value of y.
10. 6(b)4 marks· Mathematics Q6 6(b)Using a scale of 2 cm to represent 1 unit on the x-axis, and 1 cm to represent 1 unit on the y-axis, plot the points whose x and y values are recorded in your table, and draw a smooth curve through your points.
11. 6(b)(ii)2 marks· Mathematics Q6 6(b)(ii)On the same axes used in Part (a) on page 16, draw the graph of y = x^2 - 2x – 3.
12. 7(b)4 marks· Mathematics Q7 7(b)Using a scale of 2 cm to represent 1 unit on both axes, draw the graph of the function y = x^2 - 4x for -1 ≤ x ≤ 5.
13. 8(a)(ii)2 marks· Mathematics Q8 8(a)(ii)Complete the grid below to show all the points in the table on page 25 and hence, draw the graph of the function f(x) = 3 + 2x - x² for -2 ≤ x ≤ 4.
14. 8(b)(i)1 mark· Mathematics Q8 8(b)(i)Draw the graph of h = 20t - 5t^2 for 0 ≤ t ≤ 4. You may proceed as follows: Using a scale of 2 cm to represent 0.5 seconds, draw the horizontal t-axis for 0 ≤ t ≤ 4.
15. 8(b)(ii)1 mark· Mathematics Q8 8(b)(ii)Using a scale of 1 cm to represent 1 metre, draw the vertical h-axis for 0.0 ≤ h ≤ 21.0.
16. 8(b)(iii)2 marks· Mathematics Q8 8(b)(iii)Plot the points from your table of values on the axes drawn.
17. 8(b)(iv)1 mark· Mathematics Q8 8(b)(iv)Join the points with a smooth curve.
18. 9(b)(ii)1 mark· Mathematics Q9 9(b)(ii)Write down the coordinates of the minimum point in the form (x, y).
19. 9(b)(iv)4 marks· Mathematics Q9 9(b)(iv)Sketch the graph of y = 3x² + 6x - 2, showing on your sketch a) the intercept on the y-axis b) the coordinates of the minimum point.
20. 9(c)(i)1 mark· Mathematics Q9 9(c)(i)Sketch the graph of y = x^2 - 3x - 12, showing clearly: the value of x where the function is a minimum.
21. 9(c)(ii)2 marks· Mathematics Q9 9(c)(ii)Sketch the graph of y = x^2 - 3x - 12, showing clearly: the x-intercepts.
22. 9(c)(iv)2 marks· Mathematics Q9 9(c)(iv)Sketch the graph of f(x).
23. 9(c)(v)a)1 mark· Mathematics Q9 9(c)(v)a)On the graph of f(x) show clearly the minimum point.
24. 9(c)(v)b)1 mark· Mathematics Q9 9(c)(v)b)On the graph of f(x) show clearly the axis of symmetry.
25. 9(d)4 marks· Mathematics Q9 9(d)Sketch the graph of y = 2x² - 3x + 1, clearly showing the coordinates of the minimum point, the value of the y-intercept, and the values of x where the graph cuts the x-axis.
26. 9(d)(i)5 marks· Mathematics Q9 9(d)(i)Sketch the graph of y = 5x² + 2x - 7, clearly showing the coordinates of the minimum point.
27. 9(d)(ii)1 mark· Mathematics Q9 9(d)(ii)Sketch the graph of y = 5x² + 2x - 7, clearly showing the value of the y-intercept.
28. 9(d)(iii)1 mark· Mathematics Q9 9(d)(iii)Sketch the graph of y = 5x² + 2x - 7, clearly showing the points where the graph cuts the x-axis.