Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −1/2. A. f(x) = −(x + 2)2 − 3/4
B. f(x) = (x + 2)2 + 3/4
C. f(x) = −(x − 2)2 + 3/4
D. f(x) = −(x − 2)2 − 3/4

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

im alright what do you need

step-by-step explanation: