A Model of the Form $y ^ { 2 } = 4 p x$

question 107

Multiple Choice

A model of the form $y ^ { 2 } = 4 p x$ is given. Identify the focus, and write an equation for the directrix.
- $$y ^ { 2 } = - 3 x$$

• A) focus: \(\left( - \frac { 3 } { 4 } , 0 \right)\); directrix: \(x = \frac { 3 } { 4 }\)
• B) focus: \(\left( 0 , \frac { 3 } { 4 } \right)\); directrix: \(y = - \frac { 3 } { 4 }\)
• C) focus: \(\left( - \frac { 3 } { 4 } , 0 \right) ;\) directrix: \(x = - \frac { 3 } { 4 }\)
• D) focus: \(\left( 0 , - \frac { 3 } { 4 } \right) ;\) directrix: \(y = \frac { 3 } { 4 }\)

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