Question

what is the image of (5, -4) after a dilation by a scale factor of 3 centered at the origin? answer attempt 1 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: Substitute values

Here $x = 5$, $y=-4$ and $k = 3$. So $x'=3\times5 = 15$ and $y'=3\times(-4)=-12$.

Answer:

$(15,-12)$