# 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