Answer to Question #140175 in Geometry for mia dinh

Question

QUESTION: What is the mapping notation for this transformation? Assume the solid rectangle is the pre-image and the dotted (shaded) rectangle is the image.

PHOTO: https://lh5.googleusercontent.com/z-VSuPU5y1KsrdZmds5rt9uALhXJQvYPIp-M-j504Ug28PfNoiXdFVt7dH55wn7kwkU6XVG53rCI_eVRgkEO87_uQeTDjdnS7iuI36Hr6bi6U22BSRg-mYG-Omt0=w287

Answer 1

Comparing the first set of (x, y) values before transformation and after transformation,

$(1,2) \textsf{ transformed to } (1,1)$

For x;

$1 \rightarrow 1$

$\therefore x = x_0$

For y;

$2 \rightarrow 1$

$y_0 = 2y\\ 2y = y_0\\ \therefore y = \frac{1}{2}y_0$

The transformation is;

$(x_0, y_0) \rightarrow (x,y) \\ \textsf{replacing the values of x, y}\\ (x_0, y_0) \rightarrow (x_0, \frac{1}{2}y_0) \\$

$\therefore$ The mapping notation for this transformation is;

$(x,y) \rightarrow (x, \frac{1}{2}y)$