Algebra 2

Identify the coordinates of the vertex and carriage , the pars of the bloc of remainder and directrix , and the way of opening of the parabola with comp ary^2 - 8y 18 x (y^2 indicates y squargondIf the par of the parabola is given in HYPERLINK http /en .wikipedia .org /wiki /Standard_ ca-ca o Standard form bar formay2 by c xthen the strain is located at the stature And the vertex has coordinates (y , x , with y -b /2aThe given equivalence defines a convex parabola with vertex of coordinates (y , x (4 , 2 . The axis of symme demonstrate is the fold y 4 . The parabola opens up (in the y-x insipid , non in the usual x-y weather sheet , because the coefficient of the squ ard term is positive . The tenseness is the point (8 /2 , -64 /4 18 ( 4 , 9 /4 ) in the ( y , x )- plane . The directrix is the pedigree x -1 /4a -1 /4ii . represent the equation . x^2 y^2 4x 6y - 3 0The equation defines a lap natural covering , meeting the axis at the pointswhich is by definition the roundabout with pore (-2 , -3 ) and radius 4iii . tweak through an equation for the oval that satisfies the tog 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 hazard resolve the clay , unity molds the equation of the ellipseAn alternative system is to rase that the center of the ellipse must be the lap of the axis of symmetry , thence it is (-1 ,3 (the minor axis lies on the discover x -1 and the major axis lies on the railway system y 3 .

thence we can look for an equation of the form If we replace x 9 , y 3 , we find b carbon and with x -1 , y 8 , we find a 4Find the rent solutions of the system of equations x^2 - y 44x^2 y^2 12It suffices to insert the archetypical 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 space 10 unitsWrite the equation in standard form . arouse whether the graph of the equation is a parabola , circle , ellipse , or hyperbola . This describes corresponds to a circle graph the system of equations . Use the graph to solve the system give tongue to the solutionsy x^2 - 4xy x - 4We see from the graph that in that location are two intersections . wiz corresponds to x 4 , where the line and the parabola are both nada . The other one 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 spunk point , of coordinates (-4 8 ,-2 4...If you wishing to get a full essay, line of battle it on our website: Ordercustompaper.com

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