Question

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (-3,0).

Use the polygon tool to graph the dilated figure.

Answer 1

A graph of the image of this figure after a dilation with a scale factor of 1/2 centered at the point (-3, 0) is shown below.

In this exercise, we would have to dilate the coordinates of the preimage by using a scale factor of 1/2 centered at the point (-3, 0) by using this mathematical expression:

(x, y) → (k(x - a) + a, k(y - b) + b)

For the coordinates, we have;

Coordinates = (3, 8) → (1/2(3 + 3) - 3, 1/2(8 - 0) + 0)

Coordinates = (3, 8) → (3 - 3, 4 + 0)

Coordinates = (0, 4).

Coordinates = (5, 4) → (1/2(5 + 3) - 3, 1/2(4 - 0) + 0)

Coordinates = (5, 4) → (4 - 3, 2 + 0)

Coordinates = (1, 2).

Coordinates = (-5, 4) → (1/2(-5 + 3) - 3, 1/2(4 - 0) + 0)

Coordinates = (-5, 4) → (-4 - 3, 2 + 0)

Coordinates = (-7, 2).