Quadratic Transformations Translations Activity

Describe the transformation of the given graph and write the equation.

• Horizontal Translation 6 right

  y = (x - 6)²

• Horizontal Translation 6 right

  y = (x + 6)²

• Horizontal Translation 6 left

  y = (x - 6)²

• Horizontal Translation 6 right

  y = x² - 6

Describe the transformation of the given graph and write the equation.

• Vertical Translation 5 up

  y = x² - 5

• Vertical Translation 5 up

  y = x² + 5

• Vertical Translation 5 up

  y = (x + 5)²

• Vertical Translation 5 up

  y = x + 5

Describe the transformations of the given graph.

• Horizontal Translation 3 right;

  Vertical Translation 2 down

• Horizontal Translation 3 left;

  Vertical Translation 2 up

• Horizontal Translation 3 left;

  Vertical Translation 2 down

• Horizontal Translation 3 right;

  Vertical Translation 2 up

Describe the transformation of the quadratic equation g(x) = (x + 4)² - 7.

• Horizontal Translation 4 right Vertical Translation 7 up

• Horizontal Translation 4 right Vertical Translation 7 down

• Horizontal Translation 4 left Vertical Translation 7 up

• Horizontal Translation 4 left Vertical Translation 7 down

Describe the transformation of the quadratic equation g(x) = x² + 8.

• Vertical Translation 8 up

• Horizontal Translation 8 up

• Vertical Translation 8 left

• Horizontal Translation 8 left

Describe the transformation of the quadratic equation g(x) = (x – 2)² + 5.

• Horizontal Translation 2 left;

  Vertical Translation 5 up

• Horizontal Translation 2 right;

  Vertical Translation 5 up

• Vertical Translation 2 right;

  Horizontal Translation 5 up

• Horizontal Translation 2 right;

  Vertical Translation 5 down

The quadratic function f(x) = x² is transformed to create g as shown in the graph. What is the equation for g?

• g(x) = (x – 3)²

• g(x) = x² + 3

• g(x) = (x + 3)²

• g(x) = x² – 3

The quadratic function f(x) = x² is transformed to create g as shown in the graph. What is the equation for g?

• g(x) = x – 7

• g(x) = (x – 7)²

• g(x) = x² + 7

• g(x) = x² – 7

The quadratic function f(x) = x² is transformed to create g as shown in the graph. What is the equation for g?

• g(x) = (x – 2)² + 3

• g(x) = (x + 2)² + 3

• g(x) = (x – 2)² – 3

• g(x) = (x + 2)² – 3

Describe the transformation of the quadratic equation g(x) = (x – 9)².

• Horizontal Translation 9 left

• Horizontal Translation 9 right

• Vertical Translation 9 up

• Vertical Translation 9 down