I WILL GIVE BRAINLIEST Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 2?a. x2=−4yb. x2=−4(y−1)c. x2=−(y−1)d. x2=−y
Accepted Solution
A:
The correct option is: (B) x2=−4(y−1)
Explanation:
The distance between (x,y) and the focus point is: [tex] \sqrt{(x-x_o)^2 + (y-y_o)^2} [/tex] (Distance formula)
[tex]x_o = 0 \\ y_o = 0[/tex]
Plug in the values; the expression becomes: [tex] \sqrt{x^2 + y^2} [/tex]
The distance between (x,y) and the directrix y = 2: [tex] \sqrt{(y-2)^2} [/tex]