Question

Need the answer for this it’s kinda simple to do but i forgot how to do it.

Answer 1

Given:

Original point (2, -2)

Scale factor (k) = 5

Center = origin = (0, 0)

To find:

The image of (2, -2)

Solution:

Let $(x, y)$ be the original point and $(x_0, y_0)$ be the image of the point.

Image of the point is obtained by multiplying original point by scale factor.

$\Rightarrow (x_0, y_0)=k(x, y)$

Substitute the given values:

$\Rightarrow (x_0, y_0)=5(2, -2)$

$\Rightarrow (x_0, y_0)=(5 \cdot 2, 5 \cdot -2)$

$\Rightarrow (x_0, y_0)=(10, -10)$

The image of (2, -2) after dilation is (10, -10).