How to Find the Zeros of a Quadratic Function?

Introduction

As an algebra 1 student, you will find the importance in being able to not only solve quadratic equations,

but also how to find the zeros of a quadratic function.

This lesson was made for algebra 1 students, grades 7-10.

IA.ASE.3* Choose and produce an equivalent form of an expression to reveal and explain

Properties of the quantity represented by the expression.

(Note: IA.ASE.3b is not a Graduation Standard.)

a. Find the zeros of a quadratic function by rewriting it in equivalent factored

form and explain the connection between the zeros of the function, its linear

factors, the x-intercepts of its graph, and the solutions to the corresponding

Quadratic equation.

b. Determine the maximum or minimum value of a quadratic function by Completing the square.

Task

You will watch videos on how to find the zeros and x-intercepts in a quadratic function.

After the video, you will answer 10 questions related to the video to check for

understanding. There will be a worksheet following the 10 questions to complete for extra credit.

.

Process

First step: Watch the videos that are located in the "Task" tab.

Second step: Answer the related questions below on a sheet of notebook paper and turn it in to class.

Third step: Print out and complete the worksheet below for extra credit and turn it in to class.

1. What is a quadratic function?

a. A linear function

b. A function where the largest power for the variable is 2.

c. A quadratic equation

2. What is another term for zeros or x-intercepts?

a. Roots

b. Boots

c. Vertex

3. What types of factoring are mentioned?

a. Completing the Square

b. Factor by grouping

c. All of the above

4. What are ways to find the roots of a function?

a. Factoring

b. Graphing

C. All of the above

5. What is the shape of a quadratic equation on a graph?

a. Parabola (U-shape)

b. Convex (V-shape)

c. Linear (Straight Line)

6. What are the point called that crosses the X-axis?

a. T-intercept

b. X-Intercept

c. Z-intercept

7. What is a characteristic of a parabola?

a. Symmetric

b. Long

c. None of the above

8. What is the equation of the x-axis?

a. y=0

b. x=x

c. a=b

9. What is the equation of the y-axis?

a. y=y

b. x=0

c. c=d

10. The x-intercepts refers to _______, while the zeros and roots are the solutions to the _________.

a. the graph, equation

b. the equation, graph

c. y-intercepts, graph

Click Here for Extra Credit!!!

Evaluation

The grade of this assignment will be based on how many of the 10 questions you get correct. If you get 7 out of 10 correct, then your grade will be a 70. If you choose to complete the worksheet and you get a higher grade on it than on your lowest quiz grade, it will replace your lowest quiz grade.

Conclusion

When you have watched the videos and completed the questions, you should be an expert at finding the zeros and x-intercepts of quadratic functions and graphs. However, if you are still having trouble, see me after school or watch the videos below
to get additional help.