What is the image of E for dilation with center (0, 0) and a scale factor of 6?

Solution:

Given: Centre at (0,0) and scale factor 6

Dilation is the transformation of an image from its original size to a different size without making any changes in its appearance/shape.

It stretches or shrinks the original image. The scale factor is the amount by which the original image is stretched or shrunk.

For example, A is a point (1, 2) and the scale factor is 2 then center of dilation is given as

OA= (1 × 2, 2 × 2) = (2, 4)

To find the new point we multiply the original point by the scale factor.

Since 0 × 6 = 0, then the given point (0, 0) stays the same: (0, 0).

The center remains the same, hence the image of dilation is unaltered.

What is the image of E for dilation with center (0, 0) and a scale factor of 6?

Summary:

The image of E for dilation with center (0, 0) and a scale factor of 6 is still the same, unaltered.