Answers

1. The correct options about parabola are:

   The focus is located at (0,–3).

   The parabola can be represented by the equation x^2 = –12y.

   According to the statement

   we have given that the vertex is at the origin and directrix at y = 3.

   and from these given information and we have to find the all abot the parabola like its focus point etc.

   So,

   We know that the equation of parabola is

   (x-h)^2 = 4p(y-k)

   Here The vertex is (h,k). and the focus is at (h,k+p). and the directrix is   y(k – p.)

   So, From the given information

   Vertex at the origin means that h=0 and k=0

   Directrix at y = 3 means that p=-3

   Directrix at the y-axis means the parabola opens upwards.

   Thus, the focus is: (0,-3)

   And The p-value becomes

   : 4(-3) = -12.

   And from all these the equation of the parabola is becomes

   (x)^2 = -12y

   So, The correct options about parabola are:

   The focus is located at (0,–3).

   The parabola can be represented by the equation x^2 = –12y.

   Learn more about Parabola here https://brainly.com/question/4061870

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   Question:

   A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Select two options.

   The focus is located at (0,–3).

   The parabola opens to the left.

   The p value can be determined by computing 4(3).

   The parabola can be represented by the equation x2 = –12y.

   The parabola can be represented by the equation y2 = 12x.

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