Dilations of Linear Equations and More

af(x) is a...

• Vertical translation
• Horizontal stretch/compression
• Horizontal translation
• Vertical stretch/compression

Tags

CCSS.HSF.BF.B.3

Vertical stretch is af(x) when...

• a is greater than 0
• a is less than 0
• a is greater than 1
• a is a fraction/decimal

Tags

CCSS.HSF.BF.B.3

Vertical compression is af(x) when a is...

• a fraction/decimal and the graph flattens
• a number greater than 1 and the graph becomes steeper
• any type of number 
• any number less than 1

Tags

CCSS.HSF.BF.B.3

f(x-c)

• slides left
• slides right
• slides up
• slides down

Vertical translation

• af(x)
• f(x-c)
• f(x)+d
• f(bx)

A stretch...

• makes a graph taller or wider

• flips a graph upside down

• moves a graph up or down

• moves a graph left or right

A reflection...

• makes a graph taller or wider

• flips a graph upside down

• moves a graph up or down

• moves a graph left or right

How is the graph transformed?

 $y=2\left|x\right|$  

• up 2

• right 2

• multiply y's by 2

• left 2

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

How did the equation shift from the parent function? y = f(x - 4)

• Shift right by 4
• Shift left by 4
• Horizontal Stretch by 4
• Vertical Stretch by 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2