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

  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

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

Tags

CCSS.HSF-IF.C.7D

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

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

Tags

CCSS.HSF.BF.B.3

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Write the equation that results if the parent absolute value function is reflected across the x-axis then shifted right 15 units and down 3 units.

• $y=-\left|x-15\right|-3$

• $y=-\left|x+15\right|-3$

• $y=\frac{1}{2}\left|x+3\right|-15$

• $y=\frac{1}{2}\left|x-3\right|-15$

• $y=\left|-x-15\right|-3$

Describe the transformation of the function y = f(x) + 5

• up 5

• down 5

• left 5

• right 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the function y = f(x+5)

• up 5

• down 5

• left 5

• right 5

Tags

CCSS.HSF.BF.B.3