Math Placement Exam - Conic Sections With Complete Solution

If A equals B - ANSWER -It's a circle If A doesn't equal B (same signs) - ANSWER -It's an ellipse If A doesn't equal B (different signs) - ANSWER -It's a hyperbola General Form - ANSWER -A x2 + B y2 + C x+ D y + E = 0 Parabola - ANSWER -Is the set of points on the coordinate plane that are equidistant from a fixed point (focus) and fixed line (directrix) Parabola's Standard Form (x2) - ANSWER -y = a ( x - h) 2 + k Parabola's Standard Form (x2): vertex - ANSWER -( h , k ) Parabola's Standard Form (x2): focus - ANSWER -( h , k + c ) Parabola's Standard Form (x2): axis of symmetry - ANSWER -( x = h ) Parabola's Standard Form (x2): directrix - ANSWER -( y = k - c ) Axis of Symmetry - ANSWER -A line that cuts through the middle of the parabola, intersecting at the vertex