Lesson Worksheet: Roots of Quadratic Functions Mathematics
In this worksheet, we will practice solving quadratic equations by factoring.
Find the set of zeros of the function .
Which of the following is a solution for given the set of zeros of the function is empty?
If a parabola intersects the -axis at two points, find the number of roots for the equation in .
If a parabola touches the -axis at a single point, determine the number of roots in .
If a parabola does not intersect the -axis, determine the number of roots in .
Given the curve of the quadratic function does not intersect the -axis, determine . Recall that is the set of zeros of the function .
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