Parent Functions and Describing Transformations

• shift up 5

• shift down 5 

• shift left 5 

• shift right 5 

• Linear

• Absolute Value

• Quadratic

• Murchie

• f(x) = x

• f(x) = |x|

• f(x) = x²

• f(x) = 4x

• shift up 2

• shift down 2

• shift left 2 

• shift right 2

• vertical shift up 

• vertical shift down 

• horizontal shift left 

• reflection 

• horizontal shift right

Match the following:

• Quadratic Parent

• Rational Parent

• 
• Square Root Parent

• 
• Linear Parent

• Vertical Stretch
• Horizontal Translation Right
• Vertical Translation Down
• Refection across the x-axis
• Reflection across the y-axis
• Vertical Translation Up
• Horitzontontal Translation Left
• Vertical Compression
• Horizontal Stretch

• Horizontal Translation Left
• Vertical Compression
• Refection across the x-axis
• Reflection across the y-axis
• Vertical Translation Up
• Horizontal Stretch

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²