What are the focus and directrix of the parabola with the equation y = 1/2 x2

Mathematics

2 answers:

choli [55]3 years ago

6 0

Answer:

Step-by-step explanation:

Please write this as y = (1/2)x^2 for greater clarity. (1/2) is the coefficient of x^2 here.

The applicable form for the equation of this quadratic is 4py = x^2.

Your y = (1/2)x^2 becomes 2y = x^2. Therefore, 4p = 2, or p = (1/2).

Thus, the focus is (0, 1/2) (just above the vertex, (0, 0) ), and the equation of the directrix is y = -1/2.

VMariaS [17]3 years ago

4 0

Answer:

1/9

Step-by-step explanation:

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