Graph the image of the figure using the transformation given. When reflecting a point in the origin, both the \(x\)-coordinate and the \(y\)-coordinate is negated.\((x, y)→(-x, -y)\).The reflection of the point \((x, y)\) across the line \(y=-x\) is the point \((-y, -x)\).The reflection of the point \((x, y)\) across the line \(y=x\) is the point \((y, x)\).The reflection of the point \((x, y)\) across the \(y\)-axis is the point \((-x, y)\).The reflection of the point \((x, y)\) across the \(x\)-axis is the point \((x, -y)\).Reflecting the image over the \(y\)-axis to create a mirror image is called the reflection on the \(y\)-axis, and in this case, the \(y\)-axis is called the axis of reflection.Reflecting the image over the \(x\)-axis to create a mirror image is called the reflection on the \(x\)-axis, and in this case, the \(x\)-axis is called the axis of reflection.In this case, the image is a reflection of the pre-image and each point of the image is equidistant from each corresponding point in the pre-image. So, a reflection is a mirror image of the shape. Reflection is flipping an object across a line without changing its size or shape.Step by step guide to graph Transformation: Reflection Ratio, Proportion
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