Question

dilation of a point
score: 1/3 penalty: none
question
what is the image of (2, 7) after a dilation by a scale factor of 2 centered at the origin?
answer attempt 1 out of 2

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: Substitute values

Here, $x = 2$, $y = 7$, and $k = 2$. So $x'=2\times2 = 4$ and $y'=2\times7 = 14$.

Answer:

$(4,14)$