Expressions in Motions

Linear Functions

100

f(x)=x+2

Linear, 2 Steps Foward

200

f(x)=x-3

Linear, 3 Steps Back

300

f(x)=x+5

Walk up 5, linear

400

f(x)=(x+2)+3

Linear, move left 2 and up 3

500

f(x)=-x+4

Left arm high, right arm low. Move up 4

Quadratic Functions

100

f(x)=x²

U shape which starts in the middle

200

f(x)=(x-4)²

Quadratic, move 4 to the right

300

f(x)=-(x+5)²

Upside down "U", move 5 left

400

f(x)=3x²-7

Super skinny U shape, move 7 down

500

f(x)=⅕x²+1

Arms far apart, move 1 up

Absolute Value Functions

100

f(x)=|7|

Move 7 up

200

f(x)=|4|

Move 4 up.

300

f(x)=|x|-3

Absolute Value, move down 3

400

f(x)=|x+6|

Absolute value, move 6 to the left

500

f(x)=|x-10|

Sharp "V" shape, move 10 to the right

Exponential Functions

100

f(x)=2^x

Left hand flat, right hand curves up

200

f(x)=2^(x-1)

Exponential, slide 1 step right

300

f(x)=(1/2)^x

Right arm flat, left arm starts high and curves down to meet the right

400

f(x)=10^x

"U" shape that shows growth much faster

500

f(x)=(0.5)^x

Right arm is horizontal, left arm starts high and curves down.