Transforming Functions

What are the transformations of this functions compared to the parent function y = √(x)?

• translation and reflection

• Reflected over the horizontal axis, vertical stretch, and horizontal shift

• Reflected over the x-axis, vertical stretch, vertical shift

• Reflected over x-axis, horizontal stretch, vertical shift

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What are the transformations from the parent function y=√(x) to this graph?

• Reflection and translation

• Reflected over horizontal axis, vertical shift, horizontal shift, horizontal stretch

• Reflected over vertical axis, reflected over horizontal axis, vertical and horizontal shift

• Reflected over horizontal axis, vertical shift, horizontal shift

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x² two units right?

• f(x) + 2

• f(x) - 2

• f(x + 2)

• f(x - 2)

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What are the transformations from the parent function y=x²?

y=3(x-4)²?

• vertical stretch by a factor of 3, horizontal shift right by 4

• horizontal shift left by 4, vertical stretch by a factor of 3

• horizontal shift right by 4, vertical stretch by a factor of 1/3

• horizontal shift right by 4, vertical shift up 3

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)² 

• Shrink of ⅔
  Right 7
• Shrink of ⅔
  Left 7
• Stretch of ⅔
  Right 7
• Stretch of ⅔
  Left 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation of y = f(x) for the new function
f(x) = 5x² + 2

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

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

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

Tags

CCSS.HSF.BF.B.3

  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3