You are going to write a fairy tale! Your story should include all of the standard elements of fairy tales.

Begins “Once upon a time … ”
Animals can act like humans.
Involves magical items or helpers.
Ends “ … happily ever after.”
Your story must also fully cover these math concepts. This is an educational fairy tale … the best kind!

Create a quadratic function with two real zeros.
Solve a system of non-linear equations with a graph.
Solve a system of non-linear equations with a table.
Compare linear, quadratic, and exponential growth functions using a table and a graph. Submit the graph and table.
Identify that exponential functions exceed linear and quadratic functions.
You may present your fairy tale as a document, a slideshow presentation, a comic book, a video, or other medium. Any steps or work must be shown.
I'm not sure how I'm supposed to do this.

So I'm thinking It could start something like this,

Once upon a time, there was a Majestic Macaw named Peregrin with a special gift : two zeros of a mysterious quadratic quadratic equation that don't even exist yet! In his squeaky voice he asks Beorn the bear to form factors of this quadratic.Beorn takes the zeros, subtracts each from x and forms two corresponding factors that look like (x-a)(x-b). But then Peregrin feels completely at a loss regarding what to do next. But never fear, Celebrían the Coyote comes along and witnesses his distress.

Once upon a time, there was a Majestic Macaw named Peregrin with a special gift : two zeros of a mysterious quadratic quadratic equation that don't even exist yet! In his squeaky voice he asks Beorn the bear to form factors of this quadratic.Beorn takes the zeros, subtracts each from x and forms two corresponding factors that look like (x-a)(x-b). But then Peregrin feels completely at a loss regarding what to do next. But never fear, Celeborn the Coyote comes along and witnesses his distress. Because Celeborn and Beorn are good friends Celeborn suggests that Beorn multiply together those two binomials, he suggests that Beorn uses distribution to expand those binomials.

Don't worry, I can help you with that! Let's break it down step by step.

Step 1: Start with the Story
First, let's begin with the tale. We need to include all the standard elements of a fairy tale. Begin with the classic opening line, "Once upon a time..." Then, you can introduce the main characters and their magical world. Remember to make the animals act like humans, as stated in the requirements. Develop a plot that involves the use of magical items or helpers. Finally, conclude the story with the phrase "happily ever after" to give it that fairy tale ending.

Step 2: Include Math Concepts
Now, let's incorporate the math concepts into the fairy tale. We have five specific math concepts to cover. Here's how you can incorporate each one:

1. Create a quadratic function with two real zeros: Introduce a character in your story who possesses a magical object that can create quadratic functions. Describe how they use this object to create a quadratic function with two real zeros. You can show the steps and work involved.

2. Solve a system of non-linear equations with a graph: Have another character encounter a problem that requires the solution of a system of non-linear equations. This character can use a graph to find the solution. Show the process of graphing the equations, finding the intersection points, and identifying the solution.

3. Solve a system of non-linear equations with a table: Introduce a different character who faces a similar problem as before. This time, they solve the system of non-linear equations using a table. Show the process of substituting values into the equations, filling out the table, and finding the solution.

4. Compare linear, quadratic, and exponential growth functions using a table and a graph: Dedicate a section of your story to comparing these three types of functions. Show how each function grows over time using both a table and a graph. You can create examples or scenarios where different functions are applicable.

5. Identify that exponential functions exceed linear and quadratic functions: In the conclusion of your story, have one of the characters make the realization that exponential functions exceed linear and quadratic functions in terms of growth. You can use an example or an observation within the story to highlight this concept.

Step 3: Choose a Medium
Decide the format in which you want to present your fairy tale. You can choose a document, a slideshow presentation, a comic book, a video, or any other medium you prefer. Consider the format that best allows you to incorporate both the story and the math concepts effectively.

Step 4: Create and Present
Finally, create your fairy tale using your chosen medium. Make sure to include all the required elements, such as the story, the math concepts, and the steps or work involved in solving the math problems. Organize your presentation or document in a way that is engaging and easy to follow.

Remember to have fun with your fairy tale and be creative in blending the story and the math concepts together. Good luck, and I'm here to assist you if you have further questions or need more guidance!