Graphical Transformations of Functions

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7

• x³-7

• (x-7)³

• (x+7)³

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the parent linear function:

• The 3 causes a vertical stretch

• The 3 causes a vertical compression

• The negative causes a reflection across x-axis

• The negative causes a reflection across y-axis

The equation above shows horizontal transformations. Choose the correct one.

• shrink horizontally by 2, left 3 units

• shrink horizontally by 2, right 3 units

• stretch horizontally by 2, left 3 units

• stretch horizontally by 2, right 3 units

Tags

CCSS.HSF.BF.B.3

• Vertical Stretch

• Vertical Compression

• Horizontal Stretch

• Horizontal Compression

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units

• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units

• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units

• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Tags

CCSS.HSF.BF.B.3

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

Which of the following transformations are present (select all that apply)?

-2f(2(x - 1)) + 2

• reflection over horizontal axis

• reflection over vertical axis

• horizontal compression

• vertical shift

• Rotation about origin

Tags

CCSS.HSF.BF.B.3