The Cross Sections of a Certain Satellite Dish Are Parabolic $d ( x ) = \frac { 14 } { 25 } x ^ { 2 } - \frac { 14 } { 5 } x$

question 66

Multiple Choice

The cross sections of a certain satellite dish are parabolic in shape. A cross section through the vertex can be described by the equation $d ( x ) = \frac { 14 } { 25 } x ^ { 2 } - \frac { 14 } { 5 } x$ where d(x) is the depth of the dish (in feet) at a distance of x ft from the edge of the dish. How deep Is the satellite dish?

• A) The satellite dish is \(6 \frac { 1 } { 4 } \mathrm { ft }\) deep.
• B) The satellite dish is \(5 \mathrm { ft }\) deep.
• C) The satellite dish is \(3 \frac { 1 } { 2 } \mathrm { ft }\) deep.
• D) The satellite dish is \(2 \frac { 4 } { 5 } \mathrm { ft }\) deep.

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