Given:
Original point (2, -2)
Scale factor (k) = 5
Center = origin = (0, 0)
To find:
The image of (2, -2)
Solution:
Let [tex](x, y)[/tex] be the original point and [tex](x_0, y_0)[/tex] be the image of the point.
Image of the point is obtained by multiplying original point by scale factor.
[tex]\Rightarrow (x_0, y_0)=k(x, y)[/tex]
Substitute the given values:
[tex]\Rightarrow (x_0, y_0)=5(2, -2)[/tex]
[tex]\Rightarrow (x_0, y_0)=(5 \cdot 2, 5 \cdot -2)[/tex]
[tex]\Rightarrow (x_0, y_0)=(10, -10)[/tex]
The image of (2, -2) after dilation is (10, -10).
