Transformations

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

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

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• shifted up five units

  reflection in x-axis

• shifted down five units

  reflection in x-axis

• shifted left 5 units

  reflection x-axis

• shifted right 5 units

  reflection x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

The original function has equation f(x).  State the transformations given the new function f(x) = ⅔(x - 7)² 

• Vertical Shrink of ⅔
  Right 7
• Horizontal Shrink of ⅔
  Left 7
• Left  ⅔
  Vertical stretch of 7
• Right ⅔
  Horizontal stretch of 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Parent function:
 $f\left(x\right)=\left|x\right|$  
Describe how the following graph is related to the parent graph: $f\left(x\right)=\left|x\right|+2$  

• Shifts right 2 units

• Shifts left 2 units

• Shifts up 2 units

• Shifts down 2 units

Which is an example of a function shifting downward 2 units and to the right 3 units

•  $f\left(x\right)\ =\left(x-2\right)^2-3$ 

•  $f\left(x\right)\ =\left(x-3\right)^2-2$ 

•  $f\left(x\right)\ =\left(x-3\right)^2-2$ 

•  $f\left(x\right)=\ -2\ x^2+3$ 

Tags

CCSS.HSF.BF.B.3

If the blue graph is
f(x) = x² 
the red must be...

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

Tags

CCSS.HSG.CO.A.2

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.HSA.REI.D.11

CCSS.HSF.BF.B.3