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Axis of Symmetry and Max/Min Values (Quadratic Functions) · CSEC Mathematics

29 past-paper questions on Axis of Symmetry and Max/Min Values (Quadratic Functions), part of RELATIONS, FUNCTIONS AND GRAPHS, from every CSEC Mathematics paper on Quelpr.

Practise Axis of Symmetry and Max/Min Values (Quadratic Functions)
  1. 8(b)(iii)1 mark· CSEC Mathematics · 2021 · Paper 2Using a ruler, draw the axis of symmetry on the graph on page 25.
  2. 4(d)(iii)1 mark· Mathematics Q4 4(d)(iii)The equation of the line of symmetry of the graph of y = x²-2x-3 is ____________
  3. 6(d)(i)1 mark· Mathematics Q6 6(d)(i)Write the equation of the axis of symmetry of the graph.
  4. 8(b)(ii)1 mark· Mathematics Q8 8(b)(ii)State the minimum value of f(x).
  5. 8(b)(iii)1 mark· Mathematics Q8 8(b)(iii)Determine the equation of the axis of symmetry.
  6. 9(b)(i)3 marks· Mathematics Q9 9(b)(i)Hence, or otherwise, determine the minimum value of the function y = 5x² + 2x - 7.
  7. 9(b)(ii)1 mark· Mathematics Q9 9(b)(ii)Hence, or otherwise, determine the value of x at which the minimum occurs.
  8. 9(b)(ii)2 marks· Mathematics Q9 9(b)(ii)Hence determine the minimum value of the function y = x^2 - 3x - 12.
  9. 9(b)(ii)1 mark· Mathematics Q9 9(b)(ii)State the minimum value of f(x).
  10. 9(b)(ii)2 marks· Mathematics Q9 9(b)(ii)Hence, or otherwise, determine the minimum value of f(x) and the value of x for which f(x) is a minimum.
  11. 9(b)(ii)1 mark· Mathematics Q9 9(b)(ii)Hence, or otherwise, state the minimum value of f(x) = 3x² + 6x - 2.
  12. 9(b)(ii)a)2 marks· Mathematics Q9 9(b)(ii)a)Hence state the maximum value of 1 - 6x - x².
  13. 9(b)(ii)b)1 mark· Mathematics Q9 9(b)(ii)b)Hence state the equation of the axis of symmetry of the quadratic function.
  14. 9(b)(ii)b)4 marks· Mathematics Q9 9(b)(ii)b)Sketch the graph of y = 3x² - 12x + 8, showing on your sketch the coordinates of the minimum point.
  15. 9(b)(iii)1 mark· Mathematics Q9 9(b)(iii)State the value of x for which f(x) is a minimum.
  16. 9(b)(iii)2 marks· Mathematics Q9 9(b)(iii)State the equation of the axis of symmetry of the function f(x) = 3x² + 6x - 2.
  17. 9(b)(iii)2 marks· Mathematics Q9 9(b)(iii)State the coordinates of the MINIMUM point on the graph of the function y = x² + bx + c.
  18. 9(b)(iii)c)3 marks· Mathematics Q9 9(b)(iii)c)Copy the sketch and state the x and y-coordinates of B.
  19. 9(b)(iv)1 mark· Mathematics Q9 9(b)(iv)Hence, or otherwise, determine the minimum value of f(x).
  20. 9(b)(v)2 marks· Mathematics Q9 9(b)(v)Hence, or otherwise, determine the value of x at which f(x) is a minimum.
  21. 9(c)(i)1 mark· Mathematics Q9 9(c)(i)Using your answer from (b) above, or otherwise, calculate the minimum value of 4x^2 - 12x - 3.
  22. 9(c)(i)1 mark· Mathematics Q9 9(c)(i)Using your answer from (b) above, or otherwise, calculate the minimum value of 2x² - 3x + 1.
  23. 9(c)(ii)1 mark· Mathematics Q9 9(c)(ii)Using your answer from (b) above, or otherwise, calculate the value of x for which the minimum occurs.
  24. 9(c)(ii)1 mark· Mathematics Q9 9(c)(ii)Using your answer from (b) above, or otherwise, calculate the value of x for which the minimum occurs.
  25. 9(c)(ii)5 marks· Mathematics Q9 9(c)(ii)Hence, or otherwise, determine the minimum value of 3x² + 8x - 25.
  26. 9(c)(ii)1 mark· Mathematics Q9 9(c)(ii)State the equation of the axis of symmetry.
  27. 9(c)(iii)1 mark· Mathematics Q9 9(c)(iii)State the coordinates of the minimum point.
  28. 10(c)(ii)a)7 marks· Mathematics Q10 10(c)(ii)a)State the minimum value of f(x).
  29. 10(c)(ii)b)7 marks· Mathematics Q10 10(c)(ii)b)State the value of x for which the minimum occurs.

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