1) Write an equation of the parabola in standard form. Determine all the properties of parabola and then graph it
Standard form of the equation: ,
Vertex: Focus: ,
eq. of directrix ,
axis of symmetry: ,
end points of Altus rectum :,
length of Latus rectum
X^2 + 8x - 4y + 8 = 0
2) Write an equation of the hyperbola in standard form. Determine all the properties of hyperbola, then graph it
X^2 + 4y^2 + 10x - 32y+ 73 = 0
Eq. standard form
Transverse axis is:
Center:
Vertices:
Foci:
Eq of asymptotes:
3) Write an equation of the ellipse in standard form. Determine all properties of ellipse, then graph it.
x^2 + 4y^2 + 10x - 32y +73 =0
Eq. in standard form:
Major axis is:
Center:
Verticies:
Foci
length of major axis/ minor axis
4) Which conic section each equation represents?
i. 4x^2 + 4y^2 - 2x + 4y + 5 =0
ii.y^2 + 2y -x =0
iii. x^2 +9y^2 + 6x - 18y +9 = 0
iv. 2y^2 - x^2 + 2x + 8y +3 = 0