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DRAGON DUNGEON BREAKOUT: Transformations

HAYLEE HARRIS

Created on June 30, 2023

Practice identifying transformations of parent functions using their graphs, equations and descriptions

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BREAKOUT

dragon

The

dungeon

Start game

Story

Legend says that a faraway kingdom forged a sword that together with the power of the Elemental Gems (fire, water, air, and earth) could defeat any evil. Gather the gems to assemble the ultimate weapon and defeat the dragon hiding in the dungeon.

Start game

Thank goodness you’ve come! We need your help! You need to find the 4 Elemental Gems so that the sword has enough power and then defeat the fearsome dragon that is terrorizing our people…

Help us, only a person like you can do it!

Of course!

No thank you, I’ll pass

Ouch! I thought you were cool ... What will become of us!

Hehehe, I was kidding. Ahem, of course I’ll help you

I knew you would not fail me! Thanks a lot! Here is the holy sword. Now gather the Elemental Gems to complete it and defeat the dragon.

LEVEL 1 - EARTH GEM

EARTH GEM

Watch out, a wandering skeleton is in your way! Get the earth gem by finding the correct equation given the transformations

Start level

Where do you think you’re going, mortal?! You won’t be worthy of the Earth Gem until you get all my questions correct. Do you dare to try?

Which is the equation of a quadratic function that shows a horizontal translation to the right 3 units and a vertical translation up 7 units?

y=(x-3)^3+5

Which is the equation of an absolute value function that has a horizontal translation to the left 2 units and a vertical stretch by a factor of 3?

Wrong answer

Which is the equation of a cubic function with a vertical translation down 3 units and a reflection over the x-axis?

Right answer

Wrong answer

Which is the equation of a radical function with a horizontal translation to the right 1 unit, a vertical translation up 2 units and a vertical compression?

Wrong answer

Right answer

Which of the following is not a translation for the given function?

Horizontal translation to the right 3 units

Horizontal translation to the left 3 units

Congratulations!! Here is your reward, you have earned it

Hahahaha, what do you say? ...

Oh, I've lost my mind, give me another chance!

LEVEL 2 - AIR GEM

AIR GEM

Choose the correct graph to get out of the room alive and get the next gem

Start level

Which of the following shows a quadratic function with a horizontal translation to the left 2 units and vertical translation up one unit?

Which of the following shows a function that has a reflection across the x axis?

Which of the following matches the equation:

Which graph shows a vertical compression?

You got the Air Gem!

GAME OVER

Try again

Exit

LEVEL 3 - WATER GEM

WATER GEM

Drag the light to find the correct answer

Start level

What does it mean when your k value is negative 7

Vertical Translation down 7 units

Vertical translation up 7 units

Horizontal translation left 7 units

What does it mean if you have a positive h value?

Horizontal Translation to the right

Vertical translation up

Horizontal Translation to the left

What happens to the graph if your a value is negative

reflection across the y axis

reflection across the x axis

vertical compression

What happens if your a value is inbetween 0 and 1?

Vertical stretch

Reflection

Vertical compression

And now look for the gem! Hurry up!

You got the Water gem!

GAME OVER

Try again

Exit

LEVEL 4 - FIRE GEM

FIRE GEM

Search among the tiles for the mathematical operation to find the correct answer

Start level