Quadratic Translations and Dilations

Describe the transformation(s):

y = x² - 3

• Translated left 3 units

• Translated right 3 units

• Translated down 3 units

• Translated up 3 units

Describe the transformation(s):

y = x² + 11

• Translated up 11 units

• Translated right 11 units

• Translated left 11 units

• Translated down 11 units

Describe the transformation(s):

y = (x + 4)²

• Translated up 4 units

• Translated left 4 units

• Translated right 4 units

• Translated down 4 units

Describe the transformation(s):

y = (x - 2.5)²

• Translated left 2.5 units

• Translated down 2.5 units

• Translated right 2.5 units

• Translated up 2.5 units

Describe the transformation(s):

y = -x²

• Reflected over the x-axis

• Translated down 1 unit

• Translated right 1 unit

• Vertical compression by a factor of 1

Describe the transformation(s):

y = 2x²

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 2

• Translated up 2 units

• Reflected over the x-axis

Describe the transformation(s):

y = 0.25x²

• Translated right 0.25 units

• Translated up 0.25 units

• Vertical stretch by a factor of 0.25

• Vertical compression by a factor of 0.25

Describe the transformation(s):

y = -x² + 3

• Reflected over the x-axis

• Translated up 3 units

• Vertical stretch by a factor of 3

• Translated left 3 units

Describe the transformation(s):

y = (x + 6)² + 3

• Translated left 6 units

• Translated right 6 units

• Translated up 3 units

• Translated down 3 units

Describe the transformation(s):

y = 10(x - 11)²

• Vertical stretch by a factor of 10

• Reflected over the x-axis

• Translated left 11 units

• Translated right 11 units