Question

question what is the image of (9, - 4) after a dilation by a scale factor of 5 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 $(x',y')=(k\times x,k\times y)$.

Step2: Identify values of $x$, $y$ and $k$

Here, $x = 9$, $y=-4$ and $k = 5$.

Step3: Calculate new coordinates

$x'=5\times9 = 45$ and $y'=5\times(-4)=-20$.

Answer:

$(45,-20)$