Question

question what is the image of (-3,2) after a dilation by a scale factor of 2 centered at the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall dilation formula

For a point $(x,y)$ dilated by a scale factor $k$ centered at the origin, the new - point $(x',y')$ is given by $(x',y')=(kx,ky)$.

Step2: Identify values

Here, $x = - 3$, $y = 2$, and $k = 2$.

Step3: Calculate new coordinates

$x'=k\times x=2\times(-3)=-6$ and $y'=k\times y=2\times2 = 4$.

Answer:

$(-6,4)$