I don't understand Quadratics. Can someone hep me.. Fan and Medal.

Question

anonymous · Answer

I'll help! What exactly do you need help with? Solving them or just what they are? A quadratic function is a function with a power of 2, or in the form: $$ax ^{2}+bx+c$$

anonymous · Answer

Solving them. This is the question, and i have a few other. I just don't understand how to do it.  I can give you the answer choices, but here's the question. 

Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1.

anonymous · Answer

and then can you check my answers of the few questions i solved that i think are right? i just don't really understand the answer to that one. I solved a few, but i'm not sure if they're right or wrong.

anonymous · Answer

Sure thing! The equation of a parabola whose focus is in the form (h, k + p) and whose directrix is in the form y = k-p is the following:

$$(x-h)^{2} = 4p (y-k)$$
h= 6
k + p = 2
y = k - p = 1

Now from this information, we can solve for k and p.
k = 2-p
k = 1+p
2-p = 1+p
2p = 1
--p = 1/2--

p= k-1
p= 2-k
2-k = k-1
2k = 3
k = 3/2

Then, we plug in our values for h, k, and p.

$$(x-6)^{2} = 2(y-\frac{ 3 }{ 2 })$$ ^^Is your answer^^

I might have done something wrong since I havent done this in years, but I believe this is correct. Cheers!

anonymous · Answer

thanks!

anonymous · Answer

Awesome! Let me know if you need any more help with understanding this!