Quiz on quadratic equations

1. What is the relationship between the vertex and the axis of symmetry of a parabola?

•    a) They are the same.

•     b) They are perpendicular to each other.

•    c) The vertex lies on the axis of symmetry.

•     d) The axis of symmetry passes through the x-intercepts.

Tags

CCSS.HSG.GPE.B.6

2. What do the zeros determine in a quadratic function?

•    a) The vertex

•    b) The slope

•    c) The direction of opening

•    d) All of the above

Tags

CCSS.HSF-IF.C.7A

3. What is the formula for finding the x-coordinate of the vertex of a quadratic function?

•    a) x = -b/2a 

•    b) x = b/2a 

•    c) x = -b/a 

•    d) x = b/a 

4. Which of the following statements is true about the discriminant of a quadratic equation?

•    a) It determines the direction of opening of the parabola.

•    b) It is always positive for all quadratic equations.

•    c) It is zero if the quadratic equation has imaginary roots.

•    d) It is the coefficient of the linear term.

Tags

CCSS.HSA-REI.B.4B

5. What does the discriminant of a quadratic equation help determine?

•    a) The vertex

•    b) The x-intercepts

•    c) The direction of opening

•    d) The axis of symmetry

Tags

CCSS.HSA-REI.B.4B

6. Which of the following is NOT a method to solve a quadratic equation?

•    a) Factoring

• b) Completing the square

•    c) Using the quadratic formula

• d) Long division

Tags

CCSS.HSA-REI.B.4B

7. What is the axis of symmetry of a parabola?

•    a) The x-intercepts

•    b) The y-intercept

•    c) The line that divides the parabola into two symmetrical halves

•    d) The vertex

Tags

CCSS.HSF-IF.C.7A

8. Which of the following could represent a quadratic function graph?

•    a) A straight line

•    b) A parabola

•    c) A circle

•    d) A hyperbola

Tags

CCSS.HSF-IF.C.7A

9. What does the discriminant indicate about the nature of the roots of a quadratic equation?

•    a) Whether the roots are rational or irrational

•    b) Whether the roots are positive or negative

•    c) Whether the roots are real or imaginary

•    d) Whether the roots are integers or fractions

Tags

CCSS.HSA-REI.B.4B

10. How many x-intercepts can a quadratic function have?

•   a) 0

•     b) 1

•     c) 2

•     d) 3

Tags

CCSS.HSF-IF.C.7A