Type of Function
Type of Function?
y = 2x + 1
Linear Function
What is the Translation?
y = 2x + 1
Does this Reflect?
y = |x|
No
Write a quadratic equation that has been translated left 4 and up 7.
y = (x + 4)2 + 7
Name all the Traits of this Equation
y = 4(x - 1)2
Quadratic Function
Right 1
Vertical Stretch
Type of Function?
y = |x - 1| - 3
Absolute Value Function
Name all Translations
y = (x - 10)2 + 5
Right 10
Up 5
Does this Reflect?
y = (x + 4)2 - 7
No
Write a square root equation that has been translated 2 units to the left and 10 units down.
y = √(x + 2) - 10
Name all the Traits of this Equation
y = 0.99|x + 9| + 9
Absolute Value Function
Left 9
Up 9
vertical compression
Type of Function?
(1/x) +2
Rational Function
Name all Translations
y = |x - 1| - 3
Right 1
Down 3
Does this Reflect
y = -√(x - 2)
Yes
Which equation below is a cubic function translated up 5 units?
y = x3 + 5
Name all the Traits of this Equation
y = -1√(x + 3) + 4
Square Root Function
Left 3
Up 4
Does Reflect
Type of Function?
y = √(x + 1) + 2
Square Root Function
Name all Translations
y = (x + 6)2 - 2
Left 6
Down 2
Does this Reflect?
y = -|x - 2| + 5
Yes
Write an absolute value equation that has been vertically stretched by 3, and 4 units to the left.
y = 3|x + 4|
Name all the Traits of this Equation
y = -50|x + 45| - 23
Absolute Value Function
Left 45
Down 23
Reflection
Vertical Stretch
Type of Function?
y = (x + 6)2 - 2
Quadratic Function
Name all Translations
y = √(x - 14) + 6
Right 14
Up 6
Does this Reflect?
y = (-x)2
No Flip/Horizontal Flip
Write an absolute value function that has been reflected, vertically compressed by 0.5, moved 3 units to the right, and moved 9 units down.
y = -0.5|x - 3| - 9
Name all the Traits of this Equation
y = -0.3(x - 1)2 + 78
Quadratic Function
Right 1
Up 78
Reflection
Vertical compression