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Algebra
Question

SKI DESIGN Many contemporary skis have parabolic s...

SKI DESIGN Many contemporary skis have parabolic sidecuts that allow a skier to carve tighter turns than are possible with traditional skis. In the following diagram, 

\( x \) is the directed distance to the right or left of the \( y \) -axis (with \( x \) and \( y \) measured in millimeters). The \( x \) -axis is on the center horizontal axis of the ski. The vertex of the parabolic sidecut is \( V ( 0,32 ) \) . a. Find the equation in standard form of the parabolic sidecut. b. How wide is the ski at its shovel (the widest point near the front of the ski), where \( x = 900 \) ? Round to the nearest millimeter. 

Answer

\(\text { a. } 4 ( \frac { 800 } { 84 } ) ^ { 2 } ( y - 32 ) = x ^ { 2 } \quad \text { b. } 117 \text { millimeters }\)

Solution
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