A Cross-Section of a Parabolic Reflector Is Shown in the Figure

question 10

Multiple Choice

A cross-section of a parabolic reflector is shown in the figure. The bulb is located at the focus and the opening at the focus is $18 \mathrm {~cm}$ . Find an equation of the parabola. Let $V$ be the origin. Find the diameter of the opening $| C D | , 19 \mathrm {~cm}$ from the vertex.

• A) \(| C D | = 6 \sqrt { 38 }\)
• B) \(| C D | = 18\)
• C) The equation is \(y = 18 x ^ { 2 }\)
• D) \(| C D | = 4 \sqrt { 414 }\)
• E) The equation is \(y ^ { 2 } = 18 x\)
• F) The equation is \(y ^ { 2 } - \frac { x ^ { 2 } } { 18 } = 1\)

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Definitions:

Mesozoic

A geological era that spanned from about 252 to 66 million years ago, including the Triassic, Jurassic, and Cretaceous periods.

Geologic Timescale

A system of chronological measurement that describes the timing and relationships between events that have occurred throughout Earth's history.

Time Equivalency

The concept of dating geological layers or events as being the same age based on the evidence of similar rocks, fossils, or geologic features.

Geology

A field of study focused on understanding the Earth's physical makeup, its history, and the natural processes that influence its structure and composition.