Question

Which matrix addition represents the geometric transformation of the given polygon 4 units up and 2 units left?

please help!!!

Answer 1

Answer: A

Explanation:

Answer 2

A

Explanation:

You want to know the matrix addition representation of the translation (x, y) ⇒ (x-2, y+4) for the vertex coordinates of the parallelogram in the figure.

Transformation

Translating a point 2 units left subtracts 2 from its x-coordinate.

Translating a point 4 units up adds 4 to its y-coordinate.

Matrix representation

The coordinates of the figure are represented by a matrix with x-coordinates on the first row and y-coordinates on the second row.

The transformation will add -2 to all first-row (x) values, and +4 to all second-row (y) values. The matrix addition looks like ...

`\boxed{\left[\begin{array}{cccc}0&0&2&2\\-1&-3&0&-2\end{array}\right] + \left[\begin{array}{cccc}-2&-2&-2&-2\\4&4&4&4\end{array}\right]}`