Find the Standard Form of the Equation of the Parabola $x ^ { 2 } = \frac { 1 } { 9 } y$

question 194

Multiple Choice

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

• A) \(x ^ { 2 } = \frac { 1 } { 9 } y\) focus: \(\left( 0 , \frac { 1 } { 36 } \right)\)
• B) \(x ^ { 2 } = - \frac { 1 } { 36 } y\) focus: \(\left( 0 , - \frac { 1 } { 36 } \right)\)
• C) \(x ^ { 2 } = \frac { 1 } { 9 } y\) focus: \(\left( 0 , - \frac { 1 } { 9 } \right)\)
• D) \(x ^ { 2 } = 9 y\) focus: \(\left( 0 , - \frac { 1 } { 9 } \right)\)
• E) \(x ^ { 2 } = - 9 y\) focus: (0, 4)