Hi,
What point is the intersection of the graphs:
x^2 + 4y^2 = 37
x^2/37 + y^2/9.25 = 1 Ellipse C(0,0) and radius = 5 (See below)
y^2 - x^2 = 8
y^2/8 - x^2/8 = 1 Hyperbola opening up and down (See below)
y = 3x Line: Pt(0,0) and Pt(1,3) on the Line
algebraically: substituting 3x for y
x^2 + 36x^2 = 37 x = ± 1 and y = ± 3
Graphs: ellipse, hyperbola and Line intersect at:(1,3) and (-1,-3)
Standard Form of an Equation of a Circle is
where Pt(h,k) is the center and r is the radius
Standard Form of an Equation of an Ellipse is
where Pt(h,k) is the center and a and b are the respective vertices distances from center.
Standard Form of an Equation of an Hyperbola opening right and left is:
where Pt(h,k) is a center with vertices 'a' units right and left of center.
Standard Form of an Equation of an Hyperbola opening up and down is:
where Pt(h,k) is a center with vertices 'b' units up and down from center.
The vertex form of a parabola opening up or down,where(h,k) is the vertex.
The standard form is, where the focus is (h,k + p)
The vertex form of a parabola opening right or left,where(h,k) is the vertex.
The standard form is, where the focus is (h +p,k )