Describing Transformations of Functions

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

If the blue function is f(x)=√x, the red function must be

• g(x)=√(-x)

• g(x)=√(x-1)

• g(x)=√x-1

• g(x)=-√x

Tags

CCSS.HSF.BF.B.3

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Describe the transformation to f(x) that results in g(x).

• f(x) has been reflected over the x-axis.

• f(x) has been reflected over the y-axis.

• f(x) has been reflected over y -x

• f(x) has been rotated

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the parent function:

• Shifted up 4

• Shifted down 4

• Shifted left 4

• Shifted right 4

• Flipped upside down

Tags

CCSS.HSF.BF.B.3

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

Describe the transformation from the parent function:

• Shifted left 6

• Shifted right 6

• Shifted up 2

• Shifted down 2

• Flipped upside down

Describe the transformation from the parent function:

• Shifted up 5

• Shifted down 5

• Shifted left 2

• Shifted right 2

• Flipped upside down

Describe the transformation from the parent function:

• Shifted up 7

• Shifted down 7

• Shifted left 5

• Shifted right 5

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3