Question

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Answer 1

Answer:

Vertex ( 0 , 0) ; focus ( 0 , 6); directrix at y = -6 is the correct option.

Step-by-step explanation:

Given;

$y = \frac{1}{24}x^{2}$

To Find:

Vertex, focus, and directrix at y=?

Solution:

$y = \frac{1}{24}x^{2}$

$x^{2} = 24y$

x² = 4×6×y

The above equation is a equation of Parabola.with can be written in the standard form as given below,

$x^{2} = 4by$

Where,

Vertex ≡ ( 0 , 0 )

Focus  ≡ ( 0 , b )

directrix, y = -b

On comparing this general formula for the above we get

b = 6

Vertex ≡ ( 0 , 0 )

Focus  ≡ ( 0 , 6 )

directrix, y = -6