39.1k views
3 votes
A figure is dilated with a scale factor of 3 with center at the origin. Point B is located at (-8, 1). Find its new coordinates after the dilation.

1 Answer

1 vote

We have a point B(-8,1).

If a dilation with scale factor k=3 with center at the origin is applied, then the transformation can be written as:


\begin{gathered} (x,y)\to(kx,ky) \\ (x,y)\to(3x,3y) \end{gathered}

Then, the transformation applied to point B is:


B=(-8,1)\to B^(\prime)=(3\cdot(-8),3\cdot1)=(-24,3)

Answer: after the dilation the point B' will be at (-24,3)

User MatteoSp
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories