Math Placement Exam - Conic Sections Correct 100-%
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Course
Math PlacementConic Sections
Institution
Math PlacementConic Sections
Conic Sections - ANSWERConsists of four geometric shapes (parabolas, circles, ellipses, and hyperbolas) that are actually the cross-sections of a right circular cone sliced by a plane
If A equals B - ANSWERIt's a circle
General Form - ANSWERA x2 + B y2 + C x+ D y + E = 0
Parabola - ANSWERIs ...
Math Placement Exam - Conic Sections
Correct 100-%
Conic Sections - ANSWERConsists of four geometric shapes (parabolas, circles, ellipses, and
hyperbolas) that are actually the cross-sections of a right circular cone sliced by a plane
If A equals B - ANSWERIt's a circle
General Form - ANSWERA x2 + B y2 + C x+ D y + E = 0
Parabola - ANSWERIs the set of points on the coordinate plane that are equidistant from a fixed point
(focus) and fixed line (directrix)
If A doesn't equal B (same signs) - ANSWERIt's an ellipse
If A doesn't equal B (different signs) - ANSWERIt's a hyperbola
Parabola's Standard Form (x2) - ANSWERy = 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 )
The Value C - ANSWERThe distance from the vertex to both the focus and directrix (measured along
axis of symmetry); will always be POSITIVE
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