Question

What is the image of left parenthesis, 0, comma, 3, right parenthesis(0,3) after a dilation by a scale factor of 22 centered at the origin?
Answer
Attempt 1 out of 2

Answer 1

To find the image of the point \((0, 3)\) after a dilation by a scale factor of \(22\) centered at the origin, you can use the formula for dilation.

The formula for dilation of a point \((x, y)\) centered at the origin by a scale factor \(k\) is given by:

\[
(x, y) \rightarrow (kx, ky)
\]

In this case, the point is \((0, 3)\) and the scale factor \(k\) is \(22\).

Now, applying the dilation:

\[
(0, 3) \rightarrow (22 \cdot 0, 22 \cdot 3) = (0, 66)
\]

So, the image of the point \((0, 3)\) after dilation by a scale factor of \(22\) centered at the origin is \((0, 66)\).