Transformations Review

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

What transformation has occurred from y = x²

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).

• f(x) has been reflected over the x-axis.
• f(x) has been reflected over the y-axis.

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

What transformation has occurred from f(x) = x² to get g(x) = ⅔(x - 7)²

• Stretch by a factor of 3/2

  Right 7

• Stretch by a factor of 3/2

  Left 7

• Stretch by a factor of ⅔

  Right 7

• Stretch by a factor of ⅔

  Left 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x-3

• shifted up three units
• shifted down three units
• shifted left three units
• shifted right four units

Tags

CCSS.HSF.BF.B.3

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^(x-3)

• shifted up three units
• shifted down three units
• shifted left three units
• shifted right three units

Tags

CCSS.HSF.BF.B.3

Find the equation of a quadratic moved 5 right and 3 down from y=x².

• y=(x+3)²+5

• y=(x+5)²-3

• y=(x-3)²-5

• y=(x-5)²-3

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

f(x) = 5x² + 2

• Stretch of 5
  Up 2
• Shrink of 5
  Up 2
• Stretch of 5
  Down 2
• Shrink of 5
  Down 2

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2