M1T3 Transformations of Polynomial Functions (Math 3)

What are the following transformations from the original function f(x)?

f(x+2)

• horizontal shift 2 units to the right

• reflection over the x axis

• reflection over the y axis

• horizontal shift 2 units to the left

Tags

CCSS.HSF.BF.B.3

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

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

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4
• x³- 4
• (x - 4)³
• (x + 4)³

Tags

CCSS.HSF.BF.B.3

What are the following transformations from the original function f(x)?

f(-x) - 4

• reflection over the x axis and 4 units right

• reflection over the x axis and 4 units down

• reflection over the y axis and 4 units right

• reflection over the y axis and 4 units down

Tags

CCSS.HSF.BF.B.3

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical shrink by a factor of 3
• horizontal shift to the left 2 and vertical shrink by a factor of 3

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = g(x) for the function

y = 2g(x - 3) + 5

• Shifted right 3 units

  Stretched vertically by a factor of 2

  Shifted up 5 units

• Stretched vertically by a factor of 2

• Shifted left 3 units

  Stretched vertically by a factor of 2

  Shifted down 5 units

• Stretched vertically by a factor of 1/3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units
• Narrower
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3
• x³ - 3
• (x + 3)³
• (x - 3)³

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2
• x³ - 2
• (x + 2)³
• (x - 2)³

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2