Transformations. Composition of Transformations.

Front

What is the standard form of the expression 2^{-2} ⋅ 2^{0}?

Back

1/4

Front

What does the equation 40x + 20 = 200 represent in a real-life situation?

Back

Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

Front

What is the transformation rule for rotating a point (x,y) 180 degrees clockwise around the origin?

Back

(x,y) → (-x,-y)

Front

Solve the equation: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

What is the image of the point (-2, 1) after rotating it 90 degrees counterclockwise around the origin?

Back

(-1, -2)

Front

Define a transformation in geometry.

Back

A transformation is a function that maps a set of points to another set of points, altering their position, size, or orientation.

Front

What is a composition of transformations?

Back

A composition of transformations is the application of two or more transformations to a figure, resulting in a new figure.

Front

What is the effect of a translation transformation on a point (x,y)?

Back

A translation moves the point to a new location by adding a fixed value to its coordinates: (x,y) → (x+a, y+b).

Front

What is the transformation rule for reflecting a point (x,y) across the x-axis?

Back

(x,y) → (x,-y)

Front

What is the transformation rule for reflecting a point (x,y) across the y-axis?

Back

(x,y) → (-x,y)