Question

Question 2

1 pts
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation: D2 (1, y) = (2x, 2y). Find D4 for point
A (-2, 3).

Answer 1

Given:

A dilation centered at the origin with a scale factor of 2 can be denoted

with the following notation:

`D_2(x,y)=(2x,2y)`.

To find:

The
`D_4` for point A (-2, 3).

Solution:

If
`D_2(x,y)=(2x,2y)`, then

`D_4(x,y)=(4x,4y)`

Substitute x=-2 and y=3 in the above rule to find
`D_4` for point A (-2, 3).

`D_4(-2,3)=(4(-2),4(3))`

`D_4(-2,3)=(-8,12)`

Therefore,
`D_4` for point A (-2, 3) is (-8,12).