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1. Sketch a graph of the parabola 4x+ y' =0. Label the coordinates of the vertex and at least two other points. 2. Sketch a
1. Sketch a graph of the parabola 4x+ y' =0. Label the coordinates of the vertex and at least two other points. 2. Sketch a graph of the ellipse 16x2 + 25y = 400. Label the coordinates of the vertices as well as two other points on the ellipse. What is the length of the major axis? 3. (a) Write an equation for an ellipse centered at (4,-1) with vertices (4,-7) and (4,5) and with minor axis length 4. (b) Write parametric equations for the same ellipse. 4. Sketch a graph of the hyperbola 9x2 -16y? = 144 . Give the coordinates of the vertices as well as the equations of the slant asymptotes. 5. Write an equation for a hyperbola with vertices (0, +3) and slant asymptotes y = =x, y=- -x
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