Transforming Functions Homework

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

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

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?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

Tags

CCSS.HSF.BF.B.3

What are the transformations?
y=3(x-4)²?

• horz shift right 4, vert stretch by a factor of 3
• horz shift left 4, vert stretch by a factor of 3
• horz shift right 4, vert stretch by a factor of 1/3
• horz shift right 4, vert shift up 3

Tags

CCSS.HSF.BF.B.3

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
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

  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

Name the transformation(s) of this function compared to it's parent function:

 $y=-2^{\left(x-3\right)}$  

• flips, up 3

• flips, down 3

• flips, left 3

• flips, right 3

Tags

CCSS.HSF.BF.B.3

• 
  $𝑦=𝑓(𝑥)+2$

• $𝑦=𝑓(𝑥)−2$

• $𝑦=𝑓(𝑥+2)$

• $𝑦=𝑓(𝑥−2)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• $𝑦=𝑓(𝑥)+2$

• $𝑦=𝑓(𝑥)−2$

• $𝑦=𝑓(𝑥+2)$

• $𝑦=𝑓(𝑥−2)$

Tags

CCSS.HSF.BF.B.3

• $𝑦=𝑓(𝑥)+2$

• $𝑦=𝑓(𝑥)−2$

• $𝑦=𝑓(𝑥+2)$

• $𝑦=𝑓(𝑥−2)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7