What is the image of (5,0) after a dilation by a scale factor of 3 centered at the origin?

Question

asked Jan 13, 2021 135k views

2 Answers

Dina Diagovic · Answer 1 · 2021-01-14T04:17:07+0000

Answer:The point (5,0) dilated by a scale factor of 3 centered at the origin.

To find:

The coordinates of image.

Solution:

If a figure dilated by a scale factor of k centered at the origin, then the rule of transformation is

The point is dilated by a scale factor of 3 centered at the origin, then the rule of transformation is

The given point is (5,0). Putting x=5 and y=0, we get

Therefore, the image of (5,0) is (15,0).

Explanation:

Pawel Piatkowski · Answer 2 · 2021-01-18T08:25:07+0000

Given:

The point (5,0) dilated by a scale factor of 3 centered at the origin.

To find:

The coordinates of image.

Solution:

If a figure dilated by a scale factor of k centered at the origin, then the rule of transformation is

$(x,y)\to (kx,ky)$

The point is dilated by a scale factor of 3 centered at the origin, then the rule of transformation is

$(x,y)\to (3x,3y)$

The given point is (5,0). Putting x=5 and y=0, we get

$(5,0)\to (3(5),3(0))$

$(5,0)\to (15,0)$

Therefore, the image of (5,0) is (15,0).