Question

Investigating Quadratics?

Answer 1

2. Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1.
A f(x) = −one fourth x^2

B f(x) = one fourth x^2

C f(x) = −4x^2

D f(x) = 4x^2


3. Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.
A f(x) = −one eighth (x − 2)^2 + 6

B f(x) = one eighth (x − 2)^2 + 6

C f(x) = −one eighth (x + 2)^2+ 8

D f(x) = one eighth (x + 2)^2 + 8


4. Derive the equation of the parabola with a focus at (4, −7) and a directrix of y = −15. Put the equation in standard form.
A f(x) = one sixteenthx^2 − 8x + 11

B f(x) = one sixteenthx^2 − 8x − 10

C f(x) = one sixteenthx^2 − one halfx + 11

D f(x) = one sixteenthx^2 − one halfx − 10


5. Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = negative one half.
A f(x) = −(x + 2)2 − three fourths

B f(x) = (x + 2)2 + three fourths

C f(x) = −(x − 2)2 + three fourths

D f(x) = −(x − 2)2 − three fourths

Answer 2

I need help on these four problems. :( They're extremely confusing.