Translations - Algebra Rules 8.10C

Front

What is the algebraic rule for translating a point (x, y) by (a, b)?

Back

(x ± a, y ± b) where 'a' is the horizontal movement and 'b' is the vertical movement.

Front

If a point is moved 4 units to the right and 4 units down, what is the new position?

Back

(x + 4, y - 4)

Front

What is the translation for moving a point 3 units upward?

Back

(x, y + 3)

Front

Translate a point 6 units to the left and 9 units upwards. What is the new position?

Back

(x - 6, y + 9)

Front

How would you move a point 3 units to the right and 8 units downward?

Back

(x + 3, y - 8)

Front

What is the translation for moving a point 2 units to the left and 2 units upward?

Back

(x - 2, y + 2)

Front

What does a positive value of 'a' indicate in the translation (x ± a, y)?

Back

A positive value of 'a' indicates a movement to the right.

Front

What does a negative value of 'b' indicate in the translation (x, y ± b)?

Back

A negative value of 'b' indicates a movement downward.

Front

If a point is at (2, 3) and is translated 5 units left and 2 units up, what is the new position?

Back

(-3, 5)

Front

What is the effect of translating a point by (0, b)?

Back

It moves the point vertically by 'b' units without changing the x-coordinate.