Analysing a parabola
Not what you're looking for?
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.
Purchase this Solution
Solution Summary
The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.
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. ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability