The affine transformation f maps the points (0,0), (1,0) and (0, 1) to the points (-5,...

  

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The affine transformation f maps the points (0,0), (1,0) and (0, 1) to the points (-5, -6), (-6, -6) and (-5, -7), respectively. (i) Determine f in the form f(x) = Ax + a, where A is a 2 x 2 matrix and a is a column vector with two components. (ii) Find the fixed points (if any) of f, and state whether f is a translation, rotation, reflection or glide-reflection. The affine transformation k is the reflection in the line y = -x + 8. By using the translation h that maps the point (0,8) to the origin, and its inverse h¹, find the transformation k in the form k(x) = Bx + b, where B is a 2 x 2 matrix and b is a column vector with two components. The affine transformation f maps the points (0,0), (1,0) and (0, 1) to the points (-5, -6), (-6, -6) and (-5, -7), respectively. (i) Determine f in the form f(x) = Ax + a, where A is a 2 x 2 matrix and a is a column vector with two components. (ii) Find the fixed points (if any) of f, and state whether f is a translation, rotation, reflection or glide-reflection. The affine transformation k is the reflection in the line y = -x + 8. By using the translation h that maps the point (0,8) to the origin, and its inverse h¹, find the transformation k in the form k(x) = Bx + b, where B is a 2 x 2 matrix and b is a column vector with two components.

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i To determine the affine transformation f we can set up a system of equations using the given point... View the full answer