Function Transformations HW

• Translate down a

• Translate up a

• Translate left a

• Translate right a

• Horizontal Dilation by 1/a

• Vertical Dilation by a

• Reflection over the x-axis

• Reflection over the y-axis

• x axis reflection; vertical dilation of 2; left 4

• x-axis reflection; vertical dilation of 1/2; left 4

• vertical dilation of -1/2; left 4

• vertical dilation of -1/2; right 4

• reflected over x axis,

• vertically dilated by 2

• vertically dilated by 1/2

• translated down 3

• translated right 3

• translate right 3

• translate left 3

• translate down 2

• vertical dilation by 1/2

• vertical dilation by 2

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

• reflection over x-axis
• horizontal dilation by 1/3
• reflection over y-axis
• horizontal dilation by 3
• vertical dilation by 3
• vertical dilation by 1/3