Google ClassroomProblemDraw the image of   under a dilation whose center is   and scale factor is  .

To solve the problem of drawing an image under a dilation, we need to take specific steps.

1. Break Down the Problem

   • Identify the original shape (which is not specified in your question).
   • Determine the center of dilation $C$.
   • Determine the scale factor $k$.

2. Relevant Concepts

   • The coordinates of a point $P(x, y)$ after dilation with center $C(c_x, c_y)$ and scale factor $k$ are given by: $P'(x', y') = (c_x + k(x - c_x), c_y + k(y - c_y))$

3. Analysis and Details

   • Substitute the coordinates of the original shape's vertices and apply the dilation formula to find the new coordinates.
   • If the original shape is defined by multiple vertices, repeat this calculation for each vertex.

4. Verify and Summarize

   • Ensure that all vertices have been correctly transformed according to the dilation formula.
   • Verify the mathematical calculations to ensure accuracy.

Final Answer

The final image will be the set of new vertices obtained from applying the dilation formula to each vertex of the original shape. The specific new coordinates depend on the values for the points of the original shape, center of dilation, and scale factor provided.