Question

what is the image of (-9, 3) after a dilation by a scale factor of 1/3 centered at the origin? answer attempt 1 out of 3

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 $(x',y')=(k x,k y)$. Here, $x = - 9$, $y = 3$, and $k=\frac{1}{3}$.

Step2: Calculate the new x - coordinate

$x'=k\times x=\frac{1}{3}\times(-9)=-3$.

Step3: Calculate the new y - coordinate

$y'=k\times y=\frac{1}{3}\times3 = 1$.

Answer:

$(-3,1)$