![]() ![]() ![]() When plot these points on the graph paper, we will get the figure of the image (rotated figure). In the above problem, vertices of the image areħ. When we apply the formula, we will get the following vertices of the image (rotated figure).Ħ. When we rotate the given figure about 90° clock wise, we have to apply the formulaĥ. One fun way to think about functions is to imagine that they literally move the points from the input space over to the output space. When we plot these points on a graph paper, we will get the figure of the pre-image (original figure).Ĥ. In the above problem, the vertices of the pre-image areģ. Note that all outside numbers (that are outside the brackets) represent vertical transformations and all inside numbers represent horizontal transformations. Here, a, b, c, and d are any real numbers and they represent transformations. ![]() First we have to plot the vertices of the pre-image.Ģ. In math words, the transformation of a function y f(x) typically looks like y a f(b(x + c)) + d. So the rule that we have to apply here is (x, y) -> (y, -x).īased on the rule given in step 1, we have to find the vertices of the reflected triangle A'B'C'.Ī'(1, 2), B(4, -2) and C'(2, -4) How to sketch the rotated figure?ġ. Here triangle is rotated about 90 ° clock wise. If this triangle is rotated about 90 ° clockwise, what will be the new vertices A', B' and C'?įirst we have to know the correct rule that we have to apply in this problem. Let A(-2, 1), B (2, 4) and C (4, 2) be the three vertices of a triangle. Let us consider the following example to have better understanding of reflection. Here the rule we have applied is (x, y) -> (y, -x). Once students understand the rules which they have to apply for rotation transformation, they can easily make rotation transformation of a figure.įor example, if we are going to make rotation transformation of the point (5, 3) about 90 ° (clock wise rotation), after transformation, the point would be (3, -5). ![]()
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