SOLUTION: Hi, I'm having a hard time understanding how to do the equation conversion of given points on a parabola like the focus and vertex into an equation.
The given points are:
ve
Algebra ->
Quadratic-relations-and-conic-sections
-> SOLUTION: Hi, I'm having a hard time understanding how to do the equation conversion of given points on a parabola like the focus and vertex into an equation.
The given points are:
ve
Log On
Question 603659: Hi, I'm having a hard time understanding how to do the equation conversion of given points on a parabola like the focus and vertex into an equation.
The given points are:
vertex (8,6)/ Focus (8,1) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Hi, I'm having a hard time understanding how to do the equation conversion of given points on a parabola like the focus and vertex into an equation.
The given points are:
vertex (8,6)/ Focus (8,1)
-----
Plot the 2 points and you will see the parabola must be opening downward
---
Form:
(x-h)^2 = 4p(y-k)
h = 8 ; k = 6
p = 1-6 = -5
4p = -20
----
Equation:
(x-8)^2 = -20(y-6)
---
x^2-16x+64 = -20y+120
20y = -x^2+16x+54
y = (-1/20)x^2+(4/5)x+2.7
===============================
================================
Cheers,
Stan H.
(