13) dilation of $$ \frac{3}{2} $$ about the origin $$ Y(-1,0), X(1,3), W(2,3), V(1,-2) $$

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To perform a dilation of a point about the origin, you multiply the coordinates of each point by the dilation factor. In this case, the dilation factor is $$ \frac{3}{2} $$.

Let's apply this to each of the points $$ Y(-1,0) $$, $$ X(1,3) $$, $$ W(2,3) $$, and $$ V(1,-2) $$.

1. **Point $$ Y(-1, 0) $$**:
   $$
   Y' = \left(-1 \cdot \frac{3}{2}, 0 \cdot \frac{3}{2}\right) = \left(-\frac{3}{2}, 0\right)
   $$

2. **Point $$ X(1, 3) $$**:
   $$
   X' = \left(1 \cdot \frac{3}{2}, 3 \cdot \frac{3}{2}\right) = \left(\frac{3}{2}, \frac{9}{2}\right)
   $$

3. **Point $$ W(2, 3) $$**:
   $$
   W' = \left(2 \cdot \frac{3}{2}, 3 \cdot \frac{3}{2}\right) = \left(3, \frac{9}{2}\right)
   $$

4. **Point $$ V(1, -2) $$**:
   $$
   V' = \left(1 \cdot \frac{3}{2}, -2 \cdot \frac{3}{2}\right) = \left(\frac{3}{2}, -3\right)
   $$

Now, summarizing the dilated points:

- $$ Y' = \left(-\frac{3}{2}, 0\right) $$
- $$ X' = \left(\frac{3}{2}, \frac{9}{2}\right) $$
- $$ W' = \left(3, \frac{9}{2}\right) $$
- $$ V' = \left(\frac{3}{2}, -3\right) $$

These are the coordinates of the points after dilation by a factor of $$ \frac{3}{2} $$ about the origin.
The coordinates of the dilated points are: - $$ Y' = \left(-\frac{3}{2}, 0\right) $$ - $$ X' = \left(\frac{3}{2}, \frac{9}{2}\right) $$ - $$ W' = \left(3, \frac{9}{2}\right) $$ - $$ V' = \left(\frac{3}{2}, -3\right) $$

dilation of about the origin

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