Function Transformations

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10

Describe the transformation that occurred

y = x² + 3

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Describe the transformation that occurred.

y = (x + 2)²

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

• Left 2, Down 2

• Right 2; Up 1

• Right 2; Up 2

• Left 2; Down 1

• f(x)=x² + 2

• f(x) = (x-2)² + 1

• f(x)= (x+2)² - 1

• f(x)= (x+2)² + 1

• f(x)=3∣x−2∣ − 2

• f(x)=1/3∣x+2∣ − 2

• f(x)=3∣x+2∣ − 2

• f(x) = 1/3∣x−2∣ + 2

• f(x) = −3(x+3)²

• f(x) = −3x² + 3

• f(x) = −(3x−3)²

• f(x) = (−3x)² − 3

If the blue function is y = x², then the red function must be..

• y = x² - 5

• y = x² + 5

• y = (x - 5)²

• y = (x + 5)²

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2