Quadratic Transformations

How is the following function transformed from the parent function, y=x²?

y = (x - 7)² - 9

• Up 9

  Left 7

• Up 9

  Right 7

• Down 9

  Left 7

• Down 9

  Right 7

How is the following function transformed from the parent function, y=x²?

y = 2(x + 4)² - 1

• Vertical Stretch by a factor of 2

  Up 1

  Right 4

• Vertical Stretch by a factor of 2

  Down 1

  Left 4

• Vertical Compression by a factor of 2

  Down 1

  Left 4

• Vertical Compression by a factor of 2

  Down 1

  Right 4

How is the following function transformed from the parent function, y=x²?

y = -5(x - 2)² - 6

• Vertical reflection & stretch by a factor of 5

  Up 6

  Right 2

• Vertical compression by a factor of 5

  Down 6

  Right 2

• Vertical reflection & stretch by a factor of 5

  Down 6

  Right 2

• Vertical reflection & compression by a factor of 5

  Down 6

  Right 2

• Vertical reflection & stretch by a factor of 5

  Down 6

  Left 2

How is the following function transformed from the parent function, y=x²?

y = ⅓(x - 6)² + 10

• Vertical compression by a factor of ⅓

  Up 10

  Right 6

• Vertical stretch by a factor of ⅓

  Up 10

  Right 6

• Vertical stretch by a factor of ⅓

  Up 10

  Left 6

• Vertical compression by a factor of ⅓

  Up 10

  Left 6

How is the following function transformed from the parent function, y=x²?

y = - ⅙(x + 3)² + 4

• Vertical reflection & stretch by a factor of ⅙

  Up 4

  Right 3

• Vertical compression by a factor of ⅙

  Up 4

  Right 3

• Vertical compression by a factor of ⅙

  Up 4

  Left 3

• Vertical reflection & compression by a factor of ⅙

  Up 4

  Left 3

• Vertical reflection & compression by a factor of ⅙

  Up 4

  Right 3

How is the following function transformed from the parent function, y=x²?

y = (x + 8)²

• Up 8

• Down 8

• Right 8

• Left 8

How is the following function transformed from the parent function, y=x²?

y = x² + 8

• Up 8

• Down 8

• Right 8

• Left 8

How is the following function transformed from the parent function, y=x²?

y = (x - 5)²

• Up 5

• Down 5

• Right 5

• Left 5

How is the following function transformed from the parent function, y=x²?

y = x² - 5

• Up 5

• Down 5

• Right 5

• Left 5

How is the following function transformed from the parent function, y=x²?

y = 3 (x + 4)²

• Vertical stretch by a factor of 3

  Left 4

• Vertical stretch by a factor of 3

  Right 4

• Vertical compression by a factor of 3

  Right 4

• Vertical compression by a factor of 3

  Left 4