Posted by Anamika on Sunday, January 6, 2013 at 6:30am.
Y = x^2-2x-3.
a. h = Xv = -B/2A = 2/2 = 1.
K = Yv = 1^2-2*1-3 = -4.
V = (h,k) = (1,-4).
b. Axis: X = h = 1.
c. D(1,Y1), V(1,-4), F(1,Y2).
VF = Y2-(-4) = Y2+4 = 1/4a = 1/4.
Y2+4 = 1/4.
Y2 = 1/4-4 = 1/4-16/4 = -15/4.
d. DV = -4-Y1 = 1/4a = 1/4.
-4-Y1 = 1/4
-Y1 = 1/4+4 = 1/4+16/4 = 17/4.
Y1 = -17/4.
e. A(x1,-15/4), F(1,-15/4), B(x2,-15/4).
AF = 1-x1 = 1/2a = 1/2.
1-x1 = 1/2.
-x1 = 1/2-1 = -1/2
X1 = 1/2.
FB = x2-1 = 1/2a = 1/2.
X2 = 1/2+1 = 3/2.
NOTE: The Latus Rectum for the y-parabola is a hor. line that passes through the focus.
Related Questions
algebra 2 - Find the vertex, focus, axis, directrix and latus rectum of the ...
math - if equation of directrix of a parabola is 2x+3=0, axis is 2y-3=0 and ...
Trig: Conics - Sketch the graph and find following info: Vertex: Focus: ...
maths - Given that the equation of the parabola is 5y^2 + 24x = 0. Find (1)The ...
algebra - 6. Find the equation of each parabola described below. a) parabola ...
Pre Cal - write the equations of the parabola, the directrix, and the axis of ...
Math - Find the vertex, focus, and directrix of the parabola. x^2 - 2x + 8y + 9...
Math - The tangents to a parabola with focus (1,2) are x+y=0 and x-y=o. Find the...
Math - Find the vertex, focus, and directrix of the parabola. x^2 - 2x + 8y + 9...
pre cal - What is the center of the conic whose equation is x^2 + 2y^2 - 6x + ...
For Further Reading
