The focus of a parabola is (0, -3) and the directrix is y = 3. what is the equation of the parabola?
a.) y = 1/12 x^2
b.) y = -1/12 x^2
c.) x = -1/12 y^2
d.) x = 1/12 y^12

explain how you got your answer.

Focus has coordinates (0, a)
a = -3
Thus, 4a = 4(-3) = -12

Because a is negative, we know it will be a concave down or concave left parabola. Hence, A and D can be eliminated. And we know it has to be B because the directrix is the horizontal line y = 3. Hence, the equation of the parabola becomes:

or

0=6x+2y+10 is equivalent to the simplified form: y= -3x - 5• parallel lines always have the same slope, different y intercept knowing this, we can say the slope, or m of the line parallel to y= -3x - 5 is -3.m= -3 hope this could !