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8-151.

Sketch both the circle and the parabola .

  1. How many points of intersection are there?

    Look at the graph.

    Upward parabola, vertex at (0, comma negative 13) intersects circle, centered at the origin, passing through the point (5, comma 0), at 4 intersection points, 1 in each quadrant.

    points

  2. Find the coordinates of these points algebraically.

    Substitute into the first equation.  

    Solve for .  

    Factor the equation.  

    Now substitute in these values to find the .