Identifying Function Transformations

Describe the transformation

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

Tags

CCSS.HSF.BF.B.3

Tell how the function transformed from y =|x|

y = -2|x|

• Translated left 2 units

• Reflected over x-axis

• Stretched vertically by 2 and reflected over x-axis

• Compressed vertically by 2 and reflected over the x-axis

Describe the transformation from the quadratic parent function

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

What translations have occurred to the absolute value function?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Stretch of 5

  Down 2

• Vertical Shrink of 5

  Left 2

• Vertical Stretch of 5

  Up 2

• Vertical Shrink of 5

  Right 2

Describe the parent graph transformation

• stretch by 1/2, left 1, down 3

• stretch by 1/2, right 1, down 3

• compression by 1/2, left 1, down 3

• compression by 1/2, right 1, down 3

Tags

CCSS.HSF.BF.B.3

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

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2

• y = -x² + 2

• y = x² - 2

• y = -(x + 2)²

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|

• y = |x + 5|

• y = |x| + 5

• y = -5|x|