Algebraic Representations Worksheets

What Are Algebraic Representations? In the world of mathematics, you may find that many concepts have different ways of expressing them. For instance, if you consider the curve parabola, you can represent it in the form of an equation or, as mentioned beforehand, in the form of a graph. Similar is the case for other different mathematical phenomena. One of the representations is the algebraic representation, where we denote a variety of concepts in the form of an algebraic expression. Let us discuss this further with the example of translations. To translate any figure on the coordinate plane, you have to translate each of its vertices and connect them to an image. For instance, a triangle ABC consists of vertices, namely A(1,11), B(1, 7) and C(3, 7). The image is located on 4 units to the right and 5 units down. Now, in this scenario, you already have the visual representation of the triangle and its image. However, for the algebraic aspect, we will add 4 units to each of the x-coordinate and subtract 5 from the y-coordinate. A'' --> (1 + 4, 11 - 5) = (5,6) | B' --> (1 + 4, 7 - 5) = (5,2) | C' --> (3 + 4, 7 - 5) = (7,2).