Identifying Transformations from Functions
Function Transformations Applications
Random Trivia
Transforming Points on Graphs
Writing Functions from Transformations
100
These are the transformations of
f(x)=-x^3-5
What are shift down by 5 and reflect about the x-axis?
100
This is the estimated vertical dilation from original Keanu to small Keanu
What is a vertical compression by 1/3?
100
This is the most common atom in the universe.
What is hydrogen?
100
These are the transformed points of
g(x-3)+2
What are
{(-2,-1),(0,3),(2,-2),(4, 4),(8,1)}?
100
Parent Function: Quadratic
Vertical Shift Up by 3
Reflect about the X-Axis
What is
f(x)=-x^2+3?
200
These are the transformations of
f(x)=4(x-5)^2
What are vertical stretch by 4 and shift right by 5?
200
Let the function E(t) represent the amount of energy blasted from Iron Man towards Thanos where t measures time in seconds. This is the function notation representing the effect of Thanos' use of the Time Stone to rewind the blast.
What is
E(-t)?
200
This term is used when a player scores three strokes under par on a single hole in golf.
What is an albatross?
200
These are the transformed points of
-g(2x)
What are
{(-5/2,3),(-3/2,-1),(-1/2,4),(1/2,-2),(5/2,1)}?
200
Parent Function: Cubic Root
Horizontal Shift Left by 3
Reflect about the Y-Axis
What is
f(x)=root(3)(-x-4) or root(3)(-(x+4))?
300
These are the transformations of
f(x)=2/5\sqrt(-x+7)
What are vertical compression by 2/5, reflection about the y-axis, and shift right by 7?
300
A basketball's height is modeled by h(t) = -16t2 + 32t where h(t) is measured in feet. This is the ball's maximum height if it is thrown five feet above the ground.
What is 21 feet?
300
This console serves as a platform for numerous games including Mario Kart 64, GoldenEye, and The Legend of Zelda: Ocarina of Time just to name a few.
What is Nintendo 64?
300
These are the transformed points of
g(-x+1)-1
What are
{(6, -4),(4,0),(2,-5),(0,1),(-4,-2)}?
300
Parent Function: Absolute Value
Vertical Shift Down by 8
Horizontal Shift Right by 4
Vertical Compression by 2/3
Reflection about the Y-Axis
What is
f(x)=2/3|-x+4|-8 or 2/3|-(x-4)|-8?
400
These are the transformations of
f(x)=\root(3)(-3x-21)
What are reflection about the y-axis, horizontal compression by 3, and shift left by 7?
400
Let the function R(t) represent the amount of meters rowed where t measures time in minutes. This is the function notation representing twice the amount of meters rowed with a 1k meter headstart.
What is
2R(t)+1000?
400
This Hollywood star / comedian (initials B.M.) plays himself in the 2009 horror comedy film Zombieland.
Who is Bill Murray?
400
These are the transformed points of
-3g(1/2x)
What are
{(-10,9),(-6,-3),(-2,12),(2,-6),(10,3)}?
400
Parent Function: Square Root
Vertical Shift Down by 2
Horizontal Shift Right by 3
Horizontal Compression by 7
Reflection about the X-Axis and Y-Axis
What is
f(x)=-\sqrt(-7x+21)-2 or -\sqrt(-7(x-3))-2?
500
These are the transformations of
f(x)=-5/(6/5x+36)
What are reflection about the x-axis, vertical stretch by 5, horizontal compression by 6/5, and shift left by 30?
500
Let the function S(t) represent the amount of snowfall (in inches) where t measures time in hours. This is the function notation representing snowfall accumulating three times as fast with there already being 1.5 feet of snow on the ground.
What is
S(3t)+18?
500
This is the reverse order of Bending Styles that Aang masters throughout his journey to become the Avatar.
What are fire, earth, water and air?
500
These are the transformed points of
-2g(-1/5x+1)+3
What are
{(30,9),(20,1),(10,11),(0,-1),(-20,5)}?
500
Parent Function: Rational Function
Vertical Shift Up by 3
Horizontal Shift Left by 9
Vertical Stretch by 5
Reflection about the X-Axis and Y-Axis
What is
f(x)=-5/(-x-9)+3or-5/(-(x+9))+3?