Algebra 2

Identify the coordinates of the vertex and guidance , the pars of the bloc of symme experiment and directrix , and the route of opening of the parabola with equivalencey^2 - 8y 18 x (y^2 indicates y squargondIf the equality of the parabola is given in HYPERLINK http /en .wikipedia .org /wiki /Standard_ ca-ca \o Standard form touchstone formay2 by c xthen the focusing is located at the acme And the vertex has coordinates (y , x , with y -b /2aThe given equation defines a convex parabola with vertex of coordinates (y , x (4 , 2 . The axis of rotation of symmetry is the fold y 4 . The parabola opens up (in the y-x insipid , not in the usual x-y matte , because the coefficient of the squ ard term is positive . The focus is the point (8 /2 , -64 /4 18 ( 4 , 9 /4 ) in the ( y , x )- plane . The directrix is the demarcation x -1 /4a -1 /4ii . represent the equation . x^2 y^2 4x 6y - 3 0The equation defines a lap covering , meeting the axis at the pointswhich is by definition the circle with center (-2 , -3 ) and radius 4iii . force through an equation for the ellipse that satisfies the square off of conditionsEndpoints of major axis at (9 ,3 ) and (-11 ,3Endpoints of minor axis at (-1 , 8 ) and (-1 , -2We try to substitute the given points in the ellipse of equation , we lay on the business concern resolve the clay , one molds the equation of the ellipseAn alternative order is to rase that the center of the ellipse must be the crosswalk of the axis of symmetry , at that placefore it is (-1 ,3 (the minor axis lies on the line x -1 and the major axis lies on the line y 3 .

Then we can look for an equation of the form If we replace x 9 , y 3 , we find b 100 and with x -1 , y 8 , we find a 4Find the exact solutions of the system of equations x^2 - y 44x^2 y^2 12It suffices to insert the commencement ceremony equation into the second . They are the intersections of a parabola and an ellipseWrite an equation for the hyperbola that satisfies the set of conditionsvertices (9 ,0 ) and (-9 ,0 , merge axis of length 10 unitsWrite the equation in standard form . assure whether the graph of the equation is a parabola , circle , ellipse , or hyperbola . This describes corresponds to a circle represent the system of equations . Use the graph to solve the system State the solutionsy x^2 - 4xy x - 4We see from the graph that there are two intersections . One corresponds to x 4 , where the line and the parabola are both zero . The other on e is at x -1 , where y -3Write an equation for the circle that satisfies the set of conditionsendpoints of a diam are ( -4 , -2 ) and (8 , 4Given the endpoints , the center must be the marrow point , of coordinates (-4 8 ,-2 4...If you want to get a extensive essay, line of battle it on our website: OrderCustomPaper.com

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