What to create	Quiz
Which subject	Mathematics
What age group	Year or Grade 9
What topic	quadratic functions
Question types	Mixed
Number of questions	10
Number of answers	1
Correct answers	Exactly 1
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Year 9 Mathematics Quiz: Quadratic Functions

Instructions

Answer all questions to the best of your ability. Select the correct answer where options are provided.

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1. What is the standard form of a quadratic function?

   • A. ( f(x) = ax^2 + bx + c )
   • B. ( f(x) = a(x - h)^2 + k )
   • C. ( f(x) = mx + b )
   • D. ( f(x) = a(x + b)(x + c) )

2. Identify the vertex of the quadratic function ( f(x) = 2x^2 - 8x + 3 ).

3. Which of the following is a characteristic of a parabola that opens upward?

   • A. The coefficient of ( x^2 ) is negative.
   • B. The vertex is a minimum point.
   • C. The vertex is a maximum point.
   • D. The function has no real roots.

4. What is the axis of symmetry for the quadratic function ( f(x) = 3x^2 + 6x + 2 )?

5. If the roots of the quadratic equation ( x^2 - 5x + 6 = 0 ) are found using the factoring method, which pair of values represents these roots?

   • A. ( x = 1 ) and ( x = 6 )
   • B. ( x = 3 ) and ( x = 2 )
   • C. ( x = -2 ) and ( x = 3 )
   • D. ( x = 0 ) and ( x = 6 )

6. How can you determine the direction in which a parabola opens?

   • A. By the y-intercept of the quadratic function.
   • B. By the sign of the leading coefficient ( a ).
   • C. By calculating the discriminant.
   • D. By completing the square form.

7. What are the x-intercepts of the quadratic function ( f(x) = x^2 - 4 )?

8. What is the discriminant of the quadratic equation ( 4x^2 - 12x + 9 = 0 )?

9. Given the function ( f(x) = -2(x + 3)^2 + 5 ), what is the maximum value of the function?

   • A. 5
   • B. 0
   • C. -5
   • D. 3

10. Solve for ( x ) in the equation ( x^2 + 4x + 3 = 0 ) using the quadratic formula.

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Good luck!