A parabola has a focus of (6,–6) and a directrix of y = –2. Which of the following could be the equation of the parabola?

Step-by-step explanation:

The standard form of a parabola is given by the following equation:

Where the focus is given by:

The vertex is:

And the directrix is:

Now, using the previous equations and the information provided by the problem, let's find the equation of the parabola.

If the focus is (-6,6):

Hence:

And if the directrix is :

Using (1) and (2) we can build a 2x2 system of equations:

Using elimination method:

(1)+(2)

Replacing (3) into (1):

Therefore:

So, the correct answer is:

Option 3

good for u

step-by-step explanation:

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: