Make a Conjecture A figure has a vertex at the point (-4, -6). The figure is dilated with the center at the origin with a scale factor of 5. The resulting image is then dilated with a scale factor of \(\cfrac{3}{5}\).
a. What are the coordinates of the vertex in the final image?
Persevere with Problems The algebraic representation of a dilation is (x, y) → \((\cfrac{1}{\text{a}}\text{x}, \cfrac{1}{\text{a}}\text{y})\). If the dilation is an enlargement, give three possible values of a.