Worksheet: Roots of Quadratic Functions

In this worksheet, we will practice finding the roots of a quadratic from its graph and by factoring.

Q1:

Find the solution set of in .

Q2:

What are the zeros of ?

Q3:

If a parabola intersects the -axis at two points, find the number of roots for the equation in .

Q4:

Find the value of , given the set contains the zero of the function .

Q5:

Which of the following is a solution for given the set of zeros of the function is empty?

Q6:

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.

Q7:

If a parabola touches the -axis at a single point, determine the number of roots in .

Q8:

If a parabola does not intersect the -axis, determine the number of roots in .

Q9:

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

Q10:

Find the values of and given the set contains the zeros of the function .

Q11:

Find the set of zeros of the function .

Q12:

Given the curve of the quadratic function does not intersect the -axis, determine . Recall that is the set of zeros of the function .

Dashboard