Lesson: Roots of Quadratic Functions
In this lesson, we will learn how to find the roots of a quadratic from its graph and by factoring.
Sample Question Videos
Worksheet: Roots of Quadratic Functions • 12 Questions • 3 Videos
Given that is a quadratic function and is a root of the equation , what is the value of ?
Find the solution set of in .
What are the zeros of ?
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.
Find the values of and given the set contains the zeros of the function .
Find the value of , given the set contains the zero of the function .