Analysing a parabola
1. 20x=y^2
2. (x-3)^2 =1/2(y+1)
3. y2+14y+4x+45=0
Find the vertex, focus, and directrix of the parabola described by the above equations.
© BrainMass Inc. brainmass.com March 4, 2021, 5:42 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/analysing-parabola-6785
Solution Preview
Standard forms of the parabola are
y = x^2/4P parabola opens up
y = -x^2/4P parabola opens down
x = y^2/4p parabola opens right and
x^2= -y^2/4p shows a parabola opens left
For parabolas opening up/down, the directrix is a horizontal line in the form y = + p
For parabolas opening right/left, the directrix is a vertical line in the form x = + p
The vertex point for all of the above is (0,0)
For parabolas opening up/down, the directrix is a horizontal line in the form y = + p. ...
Solution Summary
The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.
$2.49