Question

What is the algebraic notation of a figure that is translated 2 units right and 5 units up?

a) (x+2,y+5)

b) (x−2,y−5)

c) (x+5,y+2)

d) (x−5,y−2)

Answer 1

The correct algebraic notation for a figure translated 2 units right and 5 units up is (x+2, y+5).

Step-by-step explanation:

The algebraic notation of a figure that is translated 2 units to the right and 5 units up is given by the new coordinates of any point (x, y) after the translation. To represent this translation, we move along the horizontal axis (the x-axis) to the right which increases the x-coordinate by 2 units, and we move up along the vertical axis (the y-axis) which increases the y-coordinate by 5 units. Therefore, the correct notation for this translation is (x+2, y+5).