Question

Use the distance formula to write an equation of the parabola. focus:(0,2) directrix:y=-2

Answer 1

1/8x^2

Explanation:

This is an extremely easy question. My friend told me this and my assignment was 20x easier.

So basically, you take y=-2. Flip the sign of Y, in this case, it would be 2. Now multiply 2 by 4.

2x4 = 8

put 1 over 8. 1/8 then add the x squared. And boom, you have your answer!

Answer 2

y = (x^2)/8

Explanation:

This is a vertical parabola. Because the y-coordinate of the focus is greater than the y-value of the directrix, the graph opens up. The general formula for a parabola in this situation is 4py = x^2. Here, y is the distance between the vertex (0,0) and the focus, or 2. Thus, 4(2)y = x^2, or y = (x^2)/8.