Find the image vertices for a dilation with center (0,0) and a scale factor of 4

Solution:

Use the figure attached below while solving the steps.

We can calculate the coordinates of image vertices as:

For the vertex A(-3, 1)

A'(4 × -3, 4 × 1) = A'(-12, 4)

For the vertex B(4, -3)

B'(4 × 4, 4 × -3) = B'(16, -12)

For the vertex C(2, 3)

C'(4 × 2, 4 × 3) = C'(8, 12)

For the vertex D(-1, 4)

D'(4 × -1, 4 × 4) = D'(-4, 16)

Therefore, the image vertices are A'(-12, 4), B'(16, -12), C'(8, 12) and D'(-4, 16).

Find the image vertices for a dilation with center (0,0) and a scale factor of 4

Summary:

The image vertices for a dilation with center (0,0) and a scale factor of 4 are A'(-12, 4), B'(16, -12), C'(8, 12) and D'(-4, 16).