Transformations Algebra

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation. (a)  

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

• horizontally

• vertically

What type of transformation is represented?

(check all that apply)

y=-(x-4)+7

• Reflection over y-axis

• Vertical Shift Up 7

• Horizontal Shift Right 4

• Reflection over x-axis

What are the transformations?

y=(-x+1)-6

• Vertical shift up 6

  Horizontal shift right 1

  Reflection over y-axis

• Vertical shift down 6

  Horizontal shift left 1

  Reflection over x-axis

• Vertical shift down 6

  Horizontal shift left 1

  Reflection over y-axis

• Vertical shift up 6

  Horizontal shift right 1

  Reflection over x-axis

What type of transformation is seen here? y=(x+5)^2

• Vertical shift up 5

• Horizontal shift left 5

• Horizontal shift right 5

• Verticle shift down

The blue is f(x)=|x|, red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

• 3 Units Up

• 3 Units Down

• 3 Units Left

• 3 Units Right

• 2 Units Up

• 2 Units Down

• 2 Units Left

• 2 Units Right

What is the parent function? y = IxI 

• Exponential

• Linear

• Quadratic

• Absolute Value

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5