What is the image of (- 4, 3) after a dilation by a scale factor of 2 centered at the origin?

(-8,6)

Step-by-step explanation:

Question: What is the image of (-4,3)(−4,3) after a dilation by a scale factor of 22 centered at the origin?

Dilation: multiply each coordinate

(x,y)\rightarrow (2x,2y)

(x,y)→(2x,2y)

Dilations multiply by scale factor

(\color{red}{-4},\color{blue}{3}) \rightarrow (2\cdot \color{red}{-4},2\cdot \color{blue}{3})=\mathbf{(-8,6)}

(−4,3)→(2⋅−4,2⋅3)=(−8,6)

This was on my delta math so i hope this helps