(a) Use rotation of axes to show that the following equation represents a parabola. (Write the equation in XY-coordinates. Use a rotation angle that satisfies 0 ≤ ≤ 7/2 and that eliminates the xy-term.) 2√2(x + y)² = 7x +9y (b) Find the XY- and xy-coordinates of the vertex and focus. XY-coordinates vertex focus XY-coordinates (X,Y)= (c) Find the equation of the directrix in XY- and xy-coordinates. xy-coordinates. (x, y) = xy-coordinates (x, y) = ([ ( [ (x, y) =

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