Algebra Transformation

If the figure translates 8 units left and 2 up, is the following statement true or false? The pre-image is located in Quadrant III

• True

• False

• What's a pre-image?

If the figure below is rotated 270 degrees clockwise or 90 counterclockwise, what would be the new coordinates of A', B', and C'?

• A' (2, -7) B' (6, -3) C' (2, -2)

• A' (-2, -7) B' (-6, -3) C' (-2, -2)

• A' (2, 7) B' (6, 3) C' (2, 2)

• A' (7, -2) B' (3, -6) C' (-2, 2)

Describe the transformation shown below.

• 6 left and 2 down

• 6 right and 2 down

• 8 right and 2 up

• 8 left and 2 down

If the figure is dilated by a scale factor of 2.5, is the following statement true or false? The orientation of the figure did not change.

• True

• False

If the figure is rotated 90 degrees clockwise, is the following statement true or false? The orientation of the figure did not change.

• True

• False

If this pre-image was rotated 180 clockwise, which quadrant would the image be located in?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

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

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²