Question

Which of the following rules is the composition of a dilation of scale factor 2, then a translation of three units to the right? a) (2x+3,y) b) (2x+6, 2y) c) (2x +3, 2y) d) (2x+6, y)​

Answer 1

The answer is C: (2x +3, 2y)

Explanation:

When applying the dilation of a scale factor of 2, you have to apply it to both the x and y coordinate, which means you are multiplying the coordinates by 2.

Let's assume the coordinates you start with are (x, y). Apply the dilation of 2.

(x, y) -----> (2x, 2y)

Now you are moving the figure right. When moving right, this only effects the x coordinate since the x axis moves left and right. Moving right indicates you will add the number of units translated to the x coordinate.

Translation 2 units right:

(2x, 2y) -----> (2x +3, 2y)