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

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

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.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

  The blue function is the parent function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Tell how the function transformed from y =|x|

y = -2|x|

• Translated left 2 units

• Reflected over x-axis

• Stretched vertically by a factor of 2 and reflected over x-axis

• Compressed vertically by a factor of 2 and reflected over the x-axis

Which equation models the graph?

• y = Ix + 2I - 1

• y = -Ix + 2I - 1

• y = -Ix - 2I - 1

• y = -Ix + 1I - 2

Describe the transformation from the parent graph

• Reflect over x-axis, translate right 3 units, translate down 4 units

• Reflect over x-axis, translate left 3 units, translate down 4 units

• Reflect over x-axis, translate right 3 units, translate up 4 units

• Reflect over x-axis, translate left 3 units, translate up 4 units

What are the transformations to the graph compared to the parent function?

• Reflected over the x-axis, then shifted right 2 units and up 3 units

• Reflected over the x-axis, then shifted left 2 units and up 3 units

• Reflected over the x-axis, then shifted left 2 units and up 3 units

• Reflected over the x-axis, then shifted right 2 units and up 3 units

Describe the parent graph transformation

• vertical stretch by a factor of 1/2, translate left 1 units, translate down 3 units

• vertical stretch by a factor of 1/2, translate right 1 units, translate down 3 units

• vertical compression by a factor of 1/2, translate left 1 units, translate down 3 units

• vertical compression by a factor 1/2, translate right 1 units,translate down 3 units

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Tags

CCSS.HSA.REI.D.10