Lesson 7ETransformations with MatricesSolidify Understanding

Solve each system of equations.

Set

5.

Create a matrix with values from these coordinates: , , , . The -values will be in the top row, and the -values will be in the bottom row.

6.

Multiply the transformation matrix times the matrix .

7.

Plot the original parallelogram with coordinates , , , . Then, use the points from the matrix created in problem 6 and plot them on the following coordinate grid. Connect those four points to make a quadrilateral. What transformation occurred between the original parallelogram and the new one?

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8.

Function is defined by the given table.

1. Write an equation for .

2. Fill in the values for assuming that .

3. Write an equation for .

4. Fill in the values for assuming that .

5. Write an equation for .