Parent Graph Translations and Dilations

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

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

g(x) = 5x² + 2

• Vertical Compression of 5

  Translated Down 2

• Vertical Compression of 5

  Translated Up 2

• Vertical Stretch of 5

  Translated Up 2

• Vertical Shrink of 5

  Translated Down 2

Compare the function y = 5x² to the parent function y = x²

• Wider

• Narrower

Check ALL that apply: What transformations have occured to the function?

• Translation up 2

• Translation right 3

• Horizontally Compressed by 1/3

• Horizontally stretched by 3

• Translated right 9

• Shift up 1

• Shift down 1

• Shift left 1

• Shift right 1

• shift up 2 and right 1

• shift down 2 and left 1

• shift left 2 and up 1

• shift right 2 and down 1

• Shift up 5

  Vertical compression (DF 3)

• Shift down 5

  Vertical stretch (DF 7)

• Shift up 5

  Vertical compression (DF 7)

• Shift down 5

  Vertical stretch (DF 3)

• Shifted left 4

• Shifted down 4

• Vertical compression (DF 1/3)

• Reflection over the x-axis

• Horizontal stretch (SF 3)

• Horizontal Shift to the left by 7

• Vertical Shift to upward by 7

• Horizontal Shift to the right by 7

• Vertical shift downward by 7

• Horizontal shift

• Vertical Translation

• Vertical Dilation

• Horizontal Dilation