Assignment: 9/29 - Graphing Quadratics in Factored Form (COMPLETE WITH SUBSTITUTE)

ALGEBRA II-A (EXT SERIES) Fall 2025 Ryan & Malan
2025-09-30T02:46:15Z

Due: Sep 30, 2025 by 11:59pm

Lesson Steps #1: Read and Take Notes on the Following (Printed Summary and Videos) in your GREEN NOTEBOOKS!

Unit: Quadratic Topic: Graphing Quadratics in Standard Form Date: 9/30/25

Understanding Quadratic Equations in Factored Form:

Step 1: Recognizing a Quadratic Equation in Factored Form

A quadratic equation in Factored Form looks like:

Step 2: Remember the Zero-Product Property

It is easy to find the x-intercepts of a quadratic equation in Factored Form! You just need to remember a few basic algebra facts. 1) To find the x-intercepts of ANY equation, you must substitute into the equation and solve. 2) You are going to need an essential tool in your mathematical tool belt: the Zero-Product Property!

Can you name two numbers that when multiplied together equal zero? What about another example? One more? What do you notice?

You may have said some of the following examples:

While there are an infinite number of examples that work, you should notice that if two numbers multiply to zero then at least one number must be 0! This is the Zero Product Property!

Zero Product Property:

Example 1) Solve the equation .

Answer: Since two quantities are being multiplied together to equal 0, we can use the Zero Product Property!

So, we know that either or .

Our equation has two solutions

Example 2) Solve .

Answer: Again, we see that two quantities are being multiplied together to equal zero. We must use the Zero Product Property! Here, either:

or

Zero Product Property Video
ZeroProductPropertyVideo

Step 3: Putting it All Together to Graph!

Watch these Videos on Graphing in Factored Form!

https://www.youtube.com/watch?v=EV57jv7JKCs

https://www.youtube.com/watch?v=ApnkidvdWcs

Step 2: Complete the Graphing in Vertex Form Worksheet - Substitute or Ms. Malan will pass out!

Notes will be graded for homework

Effort should be clearly shown on the Vertex Form Worksheet (Especially the notes and review problems for Vertex and Standard form examples)

Lesson Steps #1: Read and Take Notes on the Following (Printed Summary and Videos) in your GREEN NOTEBOOKS!

Unit: Quadratic Topic: Graphing Quadratics in Standard Form Date: 9/30/25

Understanding Quadratic Equations in Factored Form:

Step 1: Recognizing a Quadratic Equation in Factored Form

A quadratic equation in Factored Form looks like:

Step 2: Remember the Zero-Product Property

It is easy to find the x-intercepts of a quadratic equation in Factored Form! You just need to remember a few basic algebra facts. 1) To find the x-intercepts of ANY equation, you must substitute into the equation and solve. 2) You are going to need an essential tool in your mathematical tool belt: the Zero-Product Property!

Can you name two numbers that when multiplied together equal zero? What about another example? One more? What do you notice?

You may have said some of the following examples:

While there are an infinite number of examples that work, you should notice that if two numbers multiply to zero then at least one number must be 0! This is the Zero Product Property!

Zero Product Property:

Example 1) Solve the equation .

Answer: Since two quantities are being multiplied together to equal 0, we can use the Zero Product Property!

So, we know that either or .

Our equation has two solutions

Example 2) Solve .

Answer: Again, we see that two quantities are being multiplied together to equal zero. We must use the Zero Product Property! Here, either:

or

Zero Product Property Video
ZeroProductPropertyVideo

Step 3: Putting it All Together to Graph!

Watch these Videos on Graphing in Factored Form!

https://www.youtube.com/watch?v=EV57jv7JKCs

https://www.youtube.com/watch?v=ApnkidvdWcs

Step 2: Complete the Graphing in Vertex Form Worksheet - Substitute or Ms. Malan will pass out!

Notes will be graded for homework

Effort should be clearly shown on the Vertex Form Worksheet (Especially the notes and review problems for Vertex and Standard form examples)