Question

Quadratic function help?

Answer 1

Answer:

12 units

Step-by-step explanation:

Let the equation of the parabola is  $y = \frac{1}{48} x^{2}$

So, $x^{2}  = 48y$ ........... (1)

Now, the general form of a parabola having vertex at origin and axis parallel to positive y-axis is given by  

$x^{2}  = 4ay$ ........ (2)

Now, comparing equation (1) and equation (2) we get, a = 12

We know that the focal length of the parabola $x^{2}  = 4ay$ i.e. distance between the vertex and the focus is a.

Therefore, the focal length of the parabola (1) is 12 units. (Answer)