Question

what is the image of (2, -7) after a dilation by a scale factor of 4 centered at the origin? answer attempt 2 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 $(x',y')=(k\cdot x,k\cdot y)$.

Step2: Identify values

Here, $x = 2$, $y=-7$, and $k = 4$.

Step3: Calculate new coordinates

$x'=4\times2 = 8$ and $y'=4\times(-7)=-28$.

Answer:

$(8,-28)$