What is a fixed point called on a plane?
Focus
Equation for a Conic?
Ax^2+Bxy+Cy^2+Dx+Ey+F=0
Parabola Characteristics: Either A=0 or C=0
f(x)=(x+4)^2 -3
x=-4±√3
The point(s) where a conic section intersects the axis of symmetry that has the focus or foci
Vertex
Equation for directrix?
x=h-f
f(x)= 5(x-1)^2 -20
x= 1±2= -1,3
What is the fixed line called?
Directrix
Equation for d2
x-(-f)
f(x)=3x^2 +7
x= ± √-7/3= ± √7/3i
Locus point in a plane
Parabola
Equation for Horizontal Parabola?
y-k/b=(x-n/a)^2
f(x)= x^2 +12 +11
x= -1, 11
How is a conic made?
Slicing a double cone
Equation for Vertical Parabola?
y-k/b=(x-h/a)^2
f(x)=2x^2-12x+26
3 ± 2i
The focus point is on what line?
Symmetry
what is the parent equation?
y2=x