Question

What is the image of (-9, 2) after a dilation by a scale factor of 3 centered at the origin?

Answer 1

Answer:

The image of the point is (-27, 6)

Step-by-step explanation:

Let us talk about the dilation

• Dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.
• The scale factor of dilation measures how much larger or smaller the image will be. If the scale factor greater than 1, then the image will be larger.  If the scale factor between 0 and 1, then the image will be smaller
• If the point (x, y) is dilated by scale factor k and the center of dilation is the origin, then its image will be (kx, ky)

∵ Point (-9, 2) is dilated by a scale factor 3

∴ k = 3

∵ The center of dilation is the origin

→ Multiply the coordinates of the point by 3 to find the image

∴ The image = (3 × -9, 3 × 2)

∴ The image = (-27, 6)

The image of the point is (-27, 6)