Question

question what is the image of (-3, -4) after a dilation by a scale factor of 4 centered at the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall dilation rule

For a dilation by a scale factor $k$ centered at the origin, the coordinates $(x,y)$ of a point are transformed to $(kx,ky)$.

Step2: Identify values

Here $x=- 3$, $y = - 4$ and $k = 4$.

Step3: Calculate new coordinates

The new $x$-coordinate is $k\times x=4\times(-3)=-12$, and the new $y$-coordinate is $k\times y=4\times(-4)=-16$.

Answer:

$(-12,-16)$