Question

A certain translation takes point D (-3, 10) to point D' (-12, 21). What kind of transformation is this?

A) Translation to the left and up
B) Translation to the right and down
C) Reflection across the y-axis
D) Rotation about the origin
E) Dilation from the origin

Answer 1

The transformation is a translation to the left and up.

Step-by-step explanation:

This transformation is a translation to the left and up. To find the translation, we subtract the x-coordinates and the y-coordinates of the two points.

The x-coordinate translation is: -12 - (-3) = -12 + 3 = -9, which means the translation is 9 units to the left.

The y-coordinate translation is: 21 - 10 = 11, which means the translation is 11 units up.

Therefore, the transformation is a translation to the left and up.