Representing and comparing transformations

A shape is transformed with the following algebraic rule.  (x,y)→(3x,3y) Which of the following statements is true. 

• The image maintains the preimage's orientation only
• The image maintains the preimage's congruence only
• The image maintains the preimage's orientation & congruence
• The image doesn't maintain the preimage's orientation or congruence

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

• right two, down five

• right two, down 9

• left two, up 9

• left two, down 5

Which of the following is the correct equation for the given graph?

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

What is the equation of the quadratic function obtained from a vertical shrink the parent function by a factor of 0.5 and then reflecting across the x-axis?

• y= 0.5x²

• y= -0.5x²

• y= -(x-0.5)²

• y= x²+0.5

Which is the correct rule if you wish to translate triangle A'B'C' to triangle ABC. *Careful here-order matters!!

• (x, y)---->(x+2, y-5)

• (x, y)---->(x+2, y-9)

• (x, y)---->(x-2, y-9)

• (x, y)---->(x-2, y+9)

How did we transform from y=x²

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

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’?

•  $(x,y)\ \rightarrow\ (x-1,\ y+1)$  
  

•  $(x,y)\ \rightarrow\ \left(\frac{1}{9}x,\ \frac{1}{9}y)\right)$  
  

•  $(x,y)\ \rightarrow\ (0.77x,\ 0.77y)$ 
  

•  $(x,y)\ \rightarrow\ \left(\frac{6}{3}x,\ \frac{6}{3}y)\right)$  
  

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

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.