Question

what is the image of (0, -3) after a dilation by a scale factor of $\frac{1}{3}$ centered at the origin? answer attempt 1 out of 10

Explanation:

Step1: Recall dilation formula

For a dilation centered at the origin with scale - factor $k$, if the original point is $(x,y)$, the image point $(x',y')$ is given by $(x',y')=(k\cdot x,k\cdot y)$.

Step2: Identify values

Here, $k = \frac{1}{3}$, $x = 0$, and $y=-3$.

Step3: Calculate $x'$

$x'=k\cdot x=\frac{1}{3}\times0 = 0$.

Step4: Calculate $y'$

$y'=k\cdot y=\frac{1}{3}\times(-3)=-1$.

Answer:

$(0, - 1)$