Parabola Definition and 358 Threads

I'm having problems solving this particular question Using matrix calculation to find a general solution for a parabola that passes through points (x1,y1), (x2, y2), (x3, y3). First I setted my equations ax1^2+bx2+c=y1 ax2^2+bx2+c=y2 ax3^2+bx2+c=y3 But I've no idea on how I...

Hi, I was giving a pub quiz type quesstion the other day, which I managed to solve without the use of formulae/mathematics, but it got me thinking about how to solve it mathematically too. Imagine a chain stretched between two posts, that then droops in the middle, and forms a natural...

I've just finished my pure h/work but the final question has me a bit baffled because in lectures we've only been dealing with parabols where the focus is like (a,0) and the directrix is just y=k where k is a real number. However, for this question we've to find the eqt of the parabola whose...

I'm missing a step somewhere. Without a calculator, graph y=3x^2-16x-12 by factoring and plotting zeros. I have gotten as far as (x=-2/3) & (x=6) and know it's a parabola and pointing up because it has the positive x^2 so the graphing is easy enough, except... The botb says the y-int is...

Hey! I know that the horizonal and horizontal motion are unrelated, and the velocity remains the same (if there is no air resistance, friction etc)- this correlates with the whole 'shooting a gun and dropping a bullet at the same time, which one will hit the ground first? They will fall at...

Hey! I know that the horizonal and horizontal motion are unrelated, and the velocity remains the same (if there is no air resistance, friction etc)- this correlates with the whole 'shooting a gun and dropping a bullet at the same time, which one will hit the ground first? They will fall at the...

1)Find equations of both lines through point (2,-3) that are tangent to the parabola y=x^2+x. 2)The normal line to a curve c at a point Pis, by defininiton, the line that passes through p and is perpindicular to the tangent line c at P. Where does the normal line to the parabola y=x^2-x...

find aan equation for he indicated parabola 1.focus(1,2), directrix x+y+1=0 2.vertex(2,0), directrix 2x-y=0 3.vertex(3,0), focus (0,1) please tell me the steps how to find this 3 parabola equation...