Transformations Algebra

Describe the transformation from the parent function:
f(x) = -√(x) - 2

• Reflect over x-axis
  Down 2
• Reflect over y-axis
  Up 2
• Reflect over x-axis
  Up 2
• Reflect over y-axis
  Down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the parent function:
f(x) = |-x + 3|

• Reflect over y-axis
  Left 3
• Reflect over y-axis
  Right 3
• Reflect over x-axis
  Left 3
• Reflect over x-axis
  Right 3

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Which equation shows a function that is reflected and translated from the parent function?

• y = (-x + 12)²
• y = -5|x|
• y = x²
• y = ⅓(x - 5)²

Which equation shows a function with a vertical shift up from the parent function?

• y = x² + 1
• y = |x + 6|
• y = |x| - 2 + 1
• y = x² + 7 - 9

  . 
The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

.
If the blue is f(x)=x^1/2, then the red must be

• g(x)=(-x)^1/2
• g(x)=(x-1)^1/2
• g(x)=x^1/2-1
• g(x)=-x^1/2

Tags

CCSS.HSF.BF.B.3

 If the blue graph is the parent function, what is the equation of the red (transformed) function?

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

Tags

CCSS.HSF.BF.B.3

Which of the following transformations are NOT present?
f(3x - 1) + 2

• Horizontal stretch
• Horizontal compression
• Horizontal shift to the right
• Vertical shift up

Describe the transformation:
f(3x)

• Horizontal Stretch
• Horizontal Compress
• Vertical Stretch
• Vertical Compress

Tags

CCSS.HSF.BF.B.3