A11 identify and interpret roots, intercepts, turning points of quadratic functions... Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. On a quadratic graph, the roots are the points where the graph

   • has zero gradient
   • crosses the y-axis
   • is widest
   • crosses the x-axis

2. What is a turning point on a quadratic graph?

   • root
   • maximum or minimum
   • y-intercept
   • asymptote

3. What is the y-intercept of y = x^2 - 4x + 7?

   • 4
   • 1
   • 7
   • -4

4. The graph of y = x^2 has its turning point at

   • (0, 1)
   • (1, 1)
   • (-1, 0)
   • (0, 0)

5. Completing the square writes x^2 + bx + c as

   • (x + b/2)^2 + c + b^2/4
   • (x + b/2)^2 + c - b^2/4
   • (x + b)^2 + c
   • (x - b/2)^2 + c + b^2/4

6. A quadratic with a positive x^2 coefficient has a

   • point of inflection
   • maximum turning point
   • minimum turning point
   • no turning point

7. The roots of x^2 - 9 = 0 are

   • x = 3 only
   • x = 3 and x = -3
   • x = 9 only
   • x = -9 and x = 9

8. Which equation has roots x = 2 and x = -5?

   • x^2 - 7x + 10 = 0
   • x^2 + 3x + 10 = 0
   • x^2 - 3x - 10 = 0
   • x^2 + 3x - 10 = 0

9. The roots of y = x^2 - 6x + 8 are

   • -2 and -4
   • 3 and 4
   • 2 and 4
   • 6 and 8

10. Completing the square, y = x^2 + 4x + 9 has turning point

    • (2, 5), a minimum
    • (-2, 5), a minimum
    • (-4, 9), a minimum
    • (-2, 5), a maximum

11. The graph of y = -(x - 3)^2 + 2 has its turning point at

    • (-3, 2), a minimum
    • (3, -2), a maximum
    • (2, 3), a minimum
    • (3, 2), a maximum

12. For y = x^2 - 2x - 3, the y-intercept and roots are

    • y-intercept 3; roots -3 and 1
    • y-intercept 3; roots 3 and -1
    • y-intercept -3; roots 3 and -1
    • y-intercept -3; roots -3 and 1

13. A quadratic with positive x^2 coefficient crosses the x-axis at 1 and 5. Its line of symmetry is

    • x = 1
    • x = 2.5
    • x = 3
    • x = 5

14. How many roots does y = x^2 + 2 have on a graph?

    • No real roots
    • One root
    • Infinitely many roots
    • Two roots

15. The graph of y = x^2 - 6x + 9 touches the x-axis at

    • (0, 9)
    • (6, 0)
    • (3, 0)
    • (-3, 0)

16. The turning point of y = 2x^2 + 8x + 1 is

    • (2, -7)
    • (-4, -7)
    • (-2, -7)
    • (-2, 1)

17. What are the roots of the quadratic function y = x^2 + 6x + 5?

    • 5 and 1
    • -5 and -1
    • 3 and 4
    • -3 and -4

18. A quadratic has turning point (1, -2) and passes through (0, 1). Its equation is

    • y = 3(x + 1)^2 - 2
    • y = -3(x - 1)^2 - 2
    • y = 3(x - 1)^2 - 2
    • y = (x - 1)^2 - 2

19. The equation x^2 + 8x + 16 = 0 has roots

    • x = 4 (repeated)
    • x = -4 and x = 4
    • x = -8 and x = -16
    • x = -4 (repeated)

20. A ball's height is h = -5t^2 + 20t metres at time t seconds. Its maximum height is

    • 40 m
    • 4 m
    • 10 m
    • 20 m

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