Dilations of Quadratic Functions

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

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

• Wider
• Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

• Horizontal compression by 1/2
  Vertical Translation Down 3

• Horizontal compression by 2
  Vertical Translation Up 3

• Horizontal compression by 2
  Vertical Translation Down 3

• Horizontal stretch by 1/2
  Vertical Translation Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

• Translation up 2

• Translation right 3

• Horizontally Compressed by 1/3

• Horizontally stretched by 3

• Translated right 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Write the equation of the quadratic function. (parabola)

• y = x² - 8

• y = x² + 8

• y = ( x - 8 )²

• y = ( x + 8 )²

Tags

CCSS.HSA.CED.A.1

CCSS.HSG.GPE.A.2

Write the equation of the quadratic function. (parabola)

• y = x² - 6

• y = x² + 6

• y = ( x - 6 )²

• y = ( x + 6 )²

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.2

How did we transform from f(x) =x²  to g(x) = 3x²

• vertical shift down

• vertical stretch

• horizontal stretch
• vertical compression

Tags

CCSS.HSF.BF.B.3

How did we transform from the parent function? g(x) = 1/5(x - 1)² + 7

• vertical compression, horizontal right, vertical up

• vertical compression, horizontal shift left, vertical shift up
• horizontal shift right, vertical shift down

• no changes were made to y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7