Parent Function Translations

Select all equations that show a horizontal shift from its parent function.

Describe the transformation of the graph  y = (x)³  + 6

• Right 6

• Left 6

• Up 6

• Down 6

Describe the transformations.
f(x) = √(x+2) - 4

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

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

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

What equation represents the quadratic function?

• y = (x - 4)²

• y = (x + 4)²

• y = x² - 4

• y = x² + 4

What equation represents the quadratic function?

• y = (x - 5)² - 3

• y = (x - 5)² + 3

• y = (x + 5)² - 3

• y = (x - 3)² - 5

What is the equation of this graph?

• f(x) = (x + 2)² - 2

• f(x) = (x - 2)² - 2

• f(x) = |x + 2| - 2

• f(x) = |x - 2| - 2

Compare the function (red) to the parent function (black).

• Vertical Translation Up 3 units

• Vertical Translation Down 3 units

• Vertical Translation Up 7 units

• Vertical Translation Down 7 units