We say that T preserves orientation if greater than zero and reverses orientatio

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We say that T preserves orientation if greater than zero and reverses orientation if less than zero. a) If T reverses orientation show that E is a hyperbola. b) if T preserves orientation then E can be any affine type. Find a transformation T for each type and sketch the resulting conic.c) If T is an isometry show that E is either a circle or a rectangular hyperbola (asymptotes are perpendicuar, so eccentricity is square root 2). Provide an example of each. d) Find a collineation T such that the conic x^2 - xy +y^2 + x+y = 0 is E(T,O). Sketch the conic. Let L be the line x+y=0. Show where L and T(L) intersect on E.

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