Question

question what is the image of (-1, -1) after a dilation by a scale factor of 5 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, $k = 5$, $x=-1$, and $y = - 1$.

Step3: Calculate new coordinates

$x'=5\times(-1)=-5$ and $y'=5\times(-1)=-5$.

Answer:

$(-5,-5)$