Identifying Graph Transformations

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Stretch of 5

  Down 2

• Vertical Shrink of 5

  Left 2

• Vertical Stretch of 5

  Up 2

• Vertical Shrink of 5

  Right 2

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 transformation will occur if f(x) is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

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

Name the transformation & function. y=x² + 7

• vertical up 7 quadratic function

• vertical down 7 quadratic function

• vertical up 7 cubic function

• vertical down 7 cubic function

With a cubic parent function write an equation that shifts down 10.

• f(x)= x-10

• f(x)= x² - 10

• f(x)= x³ - 10

• f(x) = √x -10

Tags

CCSS.HSF.BF.B.3

With an absolute value parent function write an equation that vertically shifts up 8

• f(x)= x + 8

• f(x)= x³ + 8

• f(x)= √x + 8

• f(x) = |x| + 8

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Tags

CCSS.8.G.A.3

The image shows what type of transformation

• Rotation

• Translation

• Reflection

Tags

CCSS.HSG.CO.A.2

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5