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 3

Explanation:

Step1: Recall dilation formula

For a dilation centered at the origin with scale - factor $k$, the transformation rule for a point $(x,y)$ is $(kx,ky)$.

Step2: Identify the values of $x$, $y$, and $k$

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

Step3: Calculate the new coordinates

Multiply each coordinate of the point $(-3,2)$ by the scale - factor $2$.
The new $x$ - coordinate is $k\times x=2\times(-3)=-6$.
The new $y$ - coordinate is $k\times y=2\times2 = 4$.

Answer:

$(-6,4)$