Function Transformation Rules

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• vertical shrink

• vertical stretch

• Down 5 Units

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

Describe the transformation(s)

y = 2 f(x - 3 ) + 3

• vertical stretched by 2, right 3, up 3

• vertical stretched by 2, left 3 up 3.

• horizontal stretch by 2, right 3, up 3

• horizontal compression by 2, left 3, up 3

Describe the transformation(s):

y = f( x + 3 ) - 6

• Left 3, down six

• Right 3, down six

• Up 3, vertically stretched by factor of 6

• Down 3, down 6

Describe the transformation(s):

f( x + 2 ) - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

Describe the transformation that occurred.

h(x) = - f(x) + 2

• up 2 units, reflection over x-axis

• left 2 units, reflection over y-axis

• Vertical Stretch, up 2 units

• right 2 units, down 1 unit

Describe the transformation that occurred

h(x) = 1/5f(-x)

• Up 1 unit, right 5 units

• vertical compression, flip across y-axis

• vertical stretch, flip across y-axis

• up one up, left 5 units

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down