Find the Vertex, Focus, Directrix, and Focal Width of the Parabola

question 72

Multiple Choice

Find the vertex, focus, directrix, and focal width of the parabola.
- $$x = 8 y ^ { 2 }$$

• A) Vertex: \(( 0,0 )\); Focus: \(\left( \frac { 1 } { 32 } , 0 \right) ;\) Directrix: \(x = \frac { 1 } { 32 } ;\) Focal width: 32
• B) Vertex: \(( 0,0 )\); Focus: \(\left( \frac { 1 } { 8 } , 0 \right) ;\) Directrix: \(x = - \frac { 1 } { 8 } ;\) Focal width: \(0.13\)
• C) Vertex: \(( 0,0 )\); Focus: \(\left( 0 , \frac { 1 } { 32 } \right) ;\) Directrix: \(y = - \frac { 1 } { 32 }\); Focal width: 32
• D) Vertex: \(( 0,0 )\); Focus: \(\left( \frac { 1 } { 32 } , 0 \right) ;\) Directrix: \(x = - \frac { 1 } { 32 } ;\) Focal width: \(0.13\)

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