Give the Focus, Directrix, and Axis for the Parabola $98 \mathrm { ft }$

question 123

Multiple Choice

Give the focus, directrix, and axis for the parabola.
-A building has an entry the shape of a parabolic arch $98 \mathrm { ft }$ high and $6 \mathrm { ft }$ wide at the base. Find an equation for the parabola if the vertex is put at the origin of the coordinate system.

• A) \(y ^ { 2 } = - 0.4 x\)
• B) \(y ^ { 2 } = - 0.1 x\)
• C) \(x ^ { 2 } = - 0.4 y\)
• D) \(x ^ { 2 } = - 0.1 y\)

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Definitions:

Systematic Random Sample

A sampling method where elements are selected from an ordered sampling frame using a starting point and a fixed periodic interval.

Subset

A set containing some or all elements of another set, without any additional elements.

Frame

In survey research, a frame is a list or representation of all the elements in the population from which a sample is drawn.

Quota Sample

A non-random sampling technique where individuals are selected based on certain traits or characteristics until a predetermined number is reached.