Chapter 13

Vertex \((6,-4)\), symmetric with respect to the line \(y=-4\), and contains the point \((8,-3)\) $$ 2 y^{2}+16 y-x+38=0 $$

Solve each problem. A parabolic arch 27 feet high spans a parkway. How wide is the arch if the center section of the parkway, a section that is 50 feet wide, has a minimum clearance of 15 feet? 75 feet

Solve each problem. A parabolic arch spans a stream 200 feet wide. How high above the stream must the arch be to give a minimum clearance of 40 feet over a channel in the center that is 120 feet wide? \(62.5\) feet

Give a step-by-step description of how you would go about graphing the parabola \(x^{2}-2 x-4 y-7=0\).