Transformations

Front

What is the result of reflecting the point (-1, 2) over the y-axis?

Back

(1, 2)

Front

What is the image of the point C(6, -4) after a 90-degree counterclockwise rotation about the origin?

Back

C'(4, 6)

Front

When translating a point (x, y) by (0, 6), how does the point move?

Back

6 units up

Front

If a figure is reflected over the x-axis, what happens to the y-coordinates of its points?

Back

The y-coordinates change sign.

Front

What transformation is described by rotating a figure 90 degrees counterclockwise?

Back

The coordinates (x, y) become (-y, x).

Front

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

Back

The new point is (-x, y).

Front

How do you describe a translation that moves a point 3 units to the right and 2 units down?

Back

(x + 3, y - 2) is the new position.

Front

What is the effect of reflecting a point over the x-axis?

Back

The x-coordinate remains the same, and the y-coordinate changes sign.

Front

What are the coordinates of a point after a 180-degree rotation about the origin?

Back

The coordinates (x, y) become (-x, -y).

Front

What is the transformation that moves a point (x, y) to (x + a, y + b)?

Back

This is called a translation.