Parent Functions Transformations

Type of Function

100

Type of Function?

y = 2x + 1

Linear Function

200

Type of Function?

y = |x - 1| - 3

Absolute Value Function

300

Type of Function?

y = 4

Constant Linear Function

400

Type of Function?

y = √(x + 1) + 2

Square Root Function

500

Type of Function?

y = (x + 6)² - 2

Quadratic Function

Translations

100

What is the Translation?

y = 2x + 1

Up 1

200

Name all Translations

y = (x - 10)² + 5

Right 10

Up 5

300

Name all Translations

y = |x - 1| - 3

Right 1

Down 3

400

Name all Translations

y = (x + 6)² - 2

Left 6

Down 2

500

Name all Translations

y = √(x - 14) + 6

Right 14

Up 6

Reflections

100

Does this Reflect?

y = |x|

No

200

Does this Reflect?

y = (x + 4)² - 7

No

300

Does this Reflect

y = -√(x - 2)

Yes

400

Does this Reflect?

y = -|x - 2| + 5

Yes

500

Does this Reflect?

y = (-x)²

No Flip/Horizontal Flip

Dilations

100

Name the Dilation

y = 11(x + 1)² + 1

Squish

200

Name the Dilation

y = 0.1(x)²

Stretch

300

Name the Dilation

y = 999|x| - 1000

Squish

400

Name the Dilation

y = 1(x - 3)² + 8

None

500

Name the Dilation

y = 0.00001|x|

Stretch

Mixed Bag

100

Name all the Traits of this Equation

y = 4(x - 1)²

Quadratic Function

Right 1

No Reflection

Squish

200

Name all the Traits of this Equation

y = 0.99|x + 9| + 9

Absolute Value Function

Left 9, Up 9

No Reflection

Stretch

300

Name all the Traits of this Equation

y = -1√(x + 3) + 4

Square Root Function

Left 3, Up 4

Does Reflect

No Dilation

400

Name all the Traits of this Equation

y = -50|x + 45| - 23

Absolute Value Function

Left 45, Down 23

Does Reflect

Squish

500

Name all the Traits of this Equation

y = -0.3(x - 1)² + 78

Quadratic Function

Right 1, Up 78

Does Reflect

Stretch