Algebra 2 Transforming Parent Functions

f(x) = x

• Constant

• Linear

• Quadratic

• Absolute Value

Given the graph above, which equation shifts line down 5 units?

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

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

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

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.

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

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

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