A vector given in component form is presented as <x, y>, where <em>x</em> represent the horizontal displacement and <em>y</em> represents the vertical displacement
<u>The </u><u>vector </u><u>that </u><u>maps </u><u>the figure ABCD to its </u><u>image </u>A'B'C'D' is <u><3, -7></u>
The reason the above value is correct is as follows:
The coordinates of the vertices of the preimage ABCD are A(-6, 4), B(-1, 4), C(3, 1), and D(-5, 1)
The coordinates of the vertices of the image A'B'C'D' are A'(-3, -3), B'(2, -3), C'(6, -6), and D'(-2, -6)
The component form of the vector that maps the figure to its image is given as follows;
Therefore,
The component form of the vector that maps the figure ABCD to its image A'B'C'D' is <3, -7>
Learn more about the component form of a vector here: