Posted by Asher on Tuesday, September 14, 2010 at 12:18am.
Derive the equation of the locus of all points that are equidistant from the point F(3,4) and the line y=2. Leave your answer in general form. [General Form: ax^2+by^2+cx+dy+e=0]

Pre Calc  drwls, Tuesday, September 14, 2010 at 2:53am
It will be a parabola. The vertical axis will be at x = 3. F is the focal point. The vertex of the parabola is equidistant from F and the y = 2 line, at x = 3, y = 1.
y = a (x+3)^2 + 1 is the equation.
Do some reading up on parabolas to figure out what a is. I think you will find it is 4 times the distance from the focus to the vertex, or 4*3 = 12
That would make the equation
y = 12(x+3)^2 + 1
Expand and rearrange that to the "general form".
Answer This Question
Related Questions
 maths pleaaaase  The point X and Y are 8cm apart Draw a scale drawing of the ...
 math  1. The equation, in general form, of the line that passes through the ...
 calculus  Find an equation oif the line that contains the two points. Write the...
 Geo (locus)  I don't fully get this stuff but some of these I guessed on and ...
 Algebra  I know that standard form is Ax+By=C, but I'm not really sure how to ...
 Algebra  I'm working midpoints, distance, circles and standard form and general...
 math (algebra one )  Write an equation of the line that passes through each ...
 math help & correction  Problem #1 Is this correct or wrong? Find the slope of ...
 Maath  Find an equation of the line L in point slope form and in general form. ...
 locus  if a moving point p is always equidistant from the point A(2,4) and the ...
More Related Questions