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Quadratic Quest C. Furze-Russell

Chloe Furze-Russell

Created on October 11, 2025

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Transcript

Explore the Depths, Master the Parabolas!

Quadratic Quest - An underwater adventure

Start

By C. Furze-Russell

Introduction

Join this exciting underwater journey in search of lost treasures. You are a brave submariner exploring the ocean to retrieve the treasure chest stolen by King Eel. Solve quadratic puzzles along the way to earn sea badges!

Let the journey begin! Check your navigation cards — they reveal the key features of each quadratic form! Master the vertices, intercepts, and curves to steer the submarine safely.

01:00

Use this side of the card to provide more information about a topic. Focus on one concept. Make learning and communication more efficient.

Use this side of the card to provide more information about a topic. Focus on one concept. Make learning and communication more efficient.

Use this side of the card to provide more information about a topic. Focus on one concept. Make learning and communication more efficient.

Highlighted Feature

Highlighted Feature

Highlighted Feature

  • vertex - the highest or lowest point on the parabola, located at (h, k).
  • y-intercept - the value of ‘c’ in the equation.
  • x-intercepts - the points where the parabola crosses the x-axis, at x = p and x = q

Title

Title

Title

Write a brief description here

Write a brief description here

Write a brief description here

The vertex is the turning point of the parabola at (2, -3)

The vertex is the turning point of the parabola at (2, -3)

The parabola crosses the y-axis at (0, 4). This is the y-intercept.

LEVEL 1: Rocky Valley

Rocky Valley

As you explore rocky Valley, you’ve found a deck of underwater cards! Match each graph or feature to its quadratic form to reveal the safe path and avoid traps.
00:30
00:30
Sea Explorer! You mastered Rocky Valley! Onward to deeper waters!”
Sea Explorer

LEVEL 2: Dark Pit

Dark Pit

You’ve entered the Dark Pit, a deep, shadowy trench filled with jagged rocks. Glowing sonar signals trace mysterious parabolas — your task is to identify the y-intercept and the direction each parabola opens. Use the sliders on the Desmos graph to navigate the trench. Each correct choice lights a safe path through the trench!
00:30
1/2
Using the Desmos graph, adjust the sliders for 𝑎 , 𝑏 , and 𝑐 to match the quadratic equation shown.
00:30
2/2
Using the Desmos graph, adjust the sliders for 𝑎 , 𝑏 , and 𝑐 to match the quadratic equation shown.
Sonar Navigator
You’ve safely guided the sub through the Dark Pit by using sonar to spot the y-intercept and opening direction. Great work, Captain!

LEVEL 3: Lush barrier

Lush barrier

A thick wall of glowing algae blocks your path! Adjust the sliders and choose the correct answer before time runs out to clear a safe passage.
Use the Desmos graph, adjust the sliders to match the quadratic equation shown.
00:30
1/3
Use the Desmos graph, adjust the sliders to match the quadratic equation shown.
00:30
2/3
Use the Desmos graph, adjust the sliders to match the quadratic equation shown.
00:30
3/3
Congratulations! You’ve charted the correct paths through the algae, mastering the x-intercepts of the parabola.
Channel Explorer

LEVEL 4: Shadow Reef

Face the Eel King at Shadow Reef! Solve the quadratic challenges to outsmart him and seize the treasure!

VS

Let's go!

00:30
Use the Desmos graph, adjust the sliders to match the quadratic equation shown.
1/3
00:30
Use the Desmos graph, adjust the sliders to match the quadratic equation shown.
2/3
00:30
Use the Desmos graph, adjust the sliders to match the quadratic equation shown.
3/3

Congratulations! You have defeated the King Eel! Come on, use the key!

Choose your treasure chest

Congratulations!

You have found a chest full of valuable relics. Get ready to strike gold when you reach the surface!

Start over

Wow!

Who would have thought that inside the treasure lies... a map to another treasure? It seems like the adventures of this submarine don't end here!

Start over

What a surprise!

It seems that the henchmen of King Eel have chosen you as the new sovereign. Will you choose the path of good or prefer to maintain the legacy of evil?

Start over

LEVEL 4: Multichannel Cave

Are you sure you want to go back to the beginning?

You will lose all your progress

Are you sure you want to go back to the beginning?

You will lose all your progress

Try again!

Try again!

Are you sure you want to go back to the beginning?

You will lose all your progress

Are you sure you want to go back to the beginning?

You will lose all your progress

Are you sure you want to go back to the beginning?

You will lose all your progress

Try again!

Try again!

Try again!

Try again!

Are you sure you want to go back to the beginning?

You will lose all your progress

Try again!

Are you sure you want to go back to the beginning?

You will lose all your progress

Are you sure you want to go back to the beginning?

You will lose all your progress

Try again!

Are you sure you want to go back to the beginning?

You will lose all your progress

Try again!

Are you sure you want to go back to the beginning?

You will lose all your progress

Are you sure you want to go back to the beginning?

You will lose all your progress

Are you sure you want to go back to the beginning?

You will lose all your progress

Are you sure you want to go back to the beginning?

You will lose all your progress

Try again!