Question

what is the image of (8,0) after a dilation by a scale factor of 5 centered at the origin? answer attempt 1 out of 3

Explanation:

Step1: Recall dilation formula

For a dilation centered at the origin with scale - factor $k$, if we have a point $(x,y)$ and we want to find its image $(x',y')$, the formula is $(x',y')=(k\cdot x,k\cdot y)$.

Step2: Identify values

Here, the point is $(8,0)$ and the scale - factor $k = 5$.

Step3: Calculate the image

$x'=k\cdot x=5\times8 = 40$ and $y'=k\cdot y=5\times0 = 0$.

Answer:

$(40,0)$