# Worksheet: Roots of Quadratic Functions

In this worksheet, we will practice solving quadratic equations by factoring.

Q1:

Given that is a quadratic function and is a root of the equation , what is the value of ?

Q2:

Find the solution set of in .

• A
• B
• C
• D
• E

Q3:

What are the zeros of ?

• A and
• B and
• C and
• D and
• E and

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