Transformations of Functions

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

  . 
The blue is f(x)=|x|, red must be

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

. 
If the blue is f(x)=x^2, then the red must be

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

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

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

• 3 Units Up

• 3 Units Down

• 3 Units Left

• 3 Units Right

• 2 Units Up

• 2 Units Down

• 2 Units Left

• 2 Units Right

• 5 Units Up

• 5 Units Down

• 5 Units Left

• 5 Units Right

• 4 Units Left

  6 Units Up

• 4 Units Left

  6 Units Down

• 4 Units Right

  6 Units Up

• 4 Units Right

  6 Units Down

• Reflected across the x-axis

  2 Units Up

• Reflected across the x-axis

  2 Units Down

• Reflected across the y-axis

  2 Units Up

• Reflected across the y-axis

  2 Units Down

• Vertical Stretch by a factor of 3

• Vertical Shrink by a factor of 3

• Horizontal Stretch by a factor of 3

• Horizontal Shrink by a factor of 1/3