Finding Zeros

Introduction

As a 9th grade Algebra 1 student, it is very important to know how to find the Zeros of a quadratic function. You will need this skill for every math class after Algebra 1, including Geometry, even though gemoetry is fairly different. You may even need this skillk in the real world, especially if you go to college. After the completion of this Webquest, you will know how to find the zeroes of any quadratic equation.

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 are going to watch the video of how to find the zeros of quadratic functions. After you watch the video, you will answer 10 questions referring to the video. After the completion of the 10 questions, you should know how to find the zeros of a quadratic function.

Click to Watch

Process

Step 1: Click the "video" link in the tasks section, and watch the full video.

Step 2: Answer the 10 questions below.

Step 3: Type you answers in a blank Microsoft word document, print it out, then turn it in tomorrow morning.

If you have trouble answering the questions from this specific video, use these links to help you answer the questions.

Video 1 Video 2 Video 3 Video 4 Video 5

1. What are the ways to find the roots of an equation?

a. Factoring

b. Graphing

c. Completing the Square

d. Quadratic Formula

e. All of the above

2. When you graph a quadratic equation, you will get a ________.

a. Parabola

b. Urabola

c. Line

d. a V shape

3. What are the points called, where the graph crosses the X-axis?

a. Y-intercepts

b. X-intercepts

c. Z-intercepts

d. W-intercepts

4. X-intercepts are also called ______ or _______.

a. Zeros, Roots

b. Y-intercepts, Y Roots

c. Points of interest, Points of intersect

d. The answers

5. The X-intercept refers to _______, while the zeros and roots are the solutions to the _______.

a. equation, equation

b. equation, the graph

c. the graph, equation

d. the graph, the graph

6. All parabolas are ________.

a. Vertexes

b. intercepts

c. right angles

d. symmetric

7. The equation of the X axis is _______.

a. y = 0

b. x = 0

c. y = x

d. x = -x

8. When finding the X-intercepts, the y value stays at ___.

a. 1

b. 2

c. 0

d. -1

9. In the video, is the vertex a minimum or a maximum value?

a. Minimum

b. Maximum

c. Both

d. Neither

10. The quadratic equation can come in a variety of ______.

a. Forms

b. values

c. complexes

d. segments

Evaluation

You will be graded based on the number of questions you get correct. For example, if you get 8 out of 10 correct, you will receive an 80.

Conclusion

After watching the video and completing the 10 questions, you should be able to find the zeros of a quadratic equation. You should be able to find them by factoring, graphing, completing the square, and the quadratic formula.