Worksheet: Roots of Quadratic Functions
In this worksheet, we will practice solving quadratic equations by factoring.
Q4:
Find the set of zeros of the function .
- A
- B
- C
- D
- E
Q5:
Which of the following is a solution for given the set of zeros of the function is empty?
- A
- B44
- C0
- D
Q6:
If a parabola intersects the -axis at two points, find the number of roots for the equation in .
- Aone
- Bzero
- Ctwo
- Dfour
- Ethree
Q7:
If a parabola touches the -axis at a single point, determine the number of roots in .
- Aone
- Btwo
- Cthree
- Dzero
- Efour
Q8:
If a parabola does not intersect the -axis, determine the number of roots in .
- Athree
- Bfour
- Cone
- Dzero
- Etwo
Q9:
Given the curve of the quadratic function does not intersect the -axis, determine . Recall that is the set of zeros of the function .
- A
- B
- C
- D
- E
Q10:
The following expressions are equivalent ways of writing the function .
Use expression 1 to find the value of when .
Identify the minimum value of using expression 2.
Identify the zeros of using expression 3.
- A, 3
- B5, 3
- C8, 15
- D,
- E5,
Q11:
Find the values of and given the set contains the zeros of the function .
- A,
- B,
- C,
- D,
Q12:
Find the value of , given the set contains the zero of the function .
Q13:
Given that and , find the other root of .
- A
- B
- C
- D
- E
Q14:
Determine the points at which the graph of the function intersects the -axis.
- A,
- B,
- C,
- D,
Q15:
Find the set of zeros of the function .
- A
- B
- C
- D
- E
Q16:
If the graph of the quadratic function, , does not intersect the -axis, how many solutions are there to the equation ?
- Azero
- Bone
- Can infinite number
- Dtwo
Q17:
At which values of does the graph of cross the -axis?
- A0 and
- B0 and
- C0 and
- D0 and
- E0 and 2