Representing and Comparing Transformations

How is the graph of y = x² different from the graph of
y = 1/3x²?

• The graph of
  y = 1/3x² is shifted up.

• The graph of
  y = 1/3x² is shifted down.

• The graph of
  y = 1/3x² is wider.

• The graph of
  y = 1/3x² is narrower.

Quadrilateral PNDM was dilated with the origin as the center to create quadrilateral P'N'D'M’. Which rule best represents the dilation that was applied to quadrilateral PNDM to create quadrilateral P'N'D'M’?

Tags

CCSS.HSG.CO.A.2

Which translation will move the blue shape to the green shape?

• 3 Left

  3 Down

• 3 Right

  3 Up

• 2 Right

  3 Up

• 2 Left

  3 Down

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the common notation for the image of a point after a transformation?

• The original letter in a different color.

• The original letter with a subscript.

• The original letter with a dash.

• The original letter with a prime symbol.

Tags

CCSS.HSG.CO.A.2

Determine how to translate triangle ABC to triangle A'B'C'.

• (x+2, y-5)

• (x+2, y-9)

• (x-2, y-9)

• (x-2, y+9)

Tags

CCSS.HSG.CO.A.2

Which rule would dilate shows a scale factor of 4?

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)

Tags

CCSS.8.G.A.3

If the blue function is f(x) = x², then the red function must be

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = -5x²

• g(x) = x + 5²

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

• Vertical stretch by a factor of 4

• Vertical compression by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal compression by a factor of 1/4

Quadrilateral WXYZ was dilated with the origin as the center to create quadrilateral W’X’Y’Z’. Which rule best represents the dilation that was applied to quadrilateral WXYZ to create quadrilateral W’X’Y’Z’?

• (x, y) --> (0.4x, 0.4y)

• (x, y) --> (x + 3, y + 2)

• (x, y) --> (2.5x, 2.5y)

• (x, y) --> (x - 3, y - 2)

Tags

CCSS.HSG.CO.A.2