Question

On the grid, draw the image of shape R after the transformation represented by the matrix ( - )).

[3]

Answer 1

To draw the image of shape R after the transformation with a scaling factor of 3, multiply each coordinate by 3 and then draw the new shape on the grid. Measure the magnitude and direction of R using a ruler and protractor, respectively.

The question involves using the transformation matrix to determine the image of shape R after transformation.

To draw the image of shape R after the transformation represented by the matrix, we use the transformation properties.

Here, the transformation is represented by matrix [3].

This could mean a scaling transformation, where each coordinate of shape R is multiplied by 3 to produce the transformed shape.

After determining the new coordinates, you would then draw the transformed shape on the grid.

If the image of shape R is described by vectors, you can graphically represent each vector with an arrow, label them, and use the head-to-tail method to determine the resultant vector R's magnitude and direction.

Measure the magnitude with a ruler, convert it back to meters if necessary, and the direction of R with a protractor, measuring the angle relative to the nearest axis.

Answer 2

The given matrix is telling us that we must translate the figure one unit to the right side and one unit downside because the first row states 0 x-units and -1 y-units, the second row states 1 x-unit and 0 y-units.

The transformation of the coordinates would be

(1,-1) to (2, -2)

(2,1) to (3, 0)

(4,1) to (5, 0)

(4,-1) to (5, -2)

The image attached shows the representation of the image.