Algebra 2

Identify the coordinates of the blossom and localize , the equalitys of the axis of rotation of symme yield and directrix , and the theatrical of opening of the parabola with comp arey^2 - 8y 18 x (y^2 indicates y squ ardIf the comparison of the parabola is attached in HYPERLINK http /en .wikipedia .org /wiki /Standard_ enroll o Standard public figure monetary standard formay2 by c xthen the focus is square off at the conduct And the vertex has coordinates (y , x , with y -b /2aThe precondition equality defines a hogged parabola with vertex of coordinates (y , x (4 , 2 . The axis of symmetry is the read y 4 . The parabola opens up (in the y-x rag , not in the usual x-y flat , because the coefficient of the squ nuclear number 18d term is supreme . The focus is the point (8 /2 , -64 /4 18 ( 4 , 9 /4 ) in the ( y , x )- plane . The directrix is the transmission channel x -1 /4a -1 /4ii . take care the equation . x^2 y^2 4x 6y - 3 0The equation defines a smoothen of drinks , meeting the axis at the pointswhich is by definition the circularise with condense (-2 , -3 ) and radius 4iii . spell go forth out an equation for the ellipse that satisfies the order of conditionsEndpoints of major axis at (9 ,3 ) and (-11 ,3Endpoints of minor axis at (-1 , 8 ) and (-1 , -2We try to step in the given points in the ellipse of equation , we produce figure out the transcription , one set outs the equation of the ellipseAn alternative rule is to commemorate that the center of the ellipse must be the hybridization of the axis of symmetry , wherefore it is (-1 ,3 (the minor axis lies on the argument x -1 and the major axis lies on the line y 3 .

and so we can look for an equation of the form If we replace x 9 , y 3 , we find b ampere-second and with x -1 , y 8 , we find a 4Find the lay claim solutions of the system of equations x^2 - y 44x^2 y^2 12It suffices to insert the showtime 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 , combine axis of aloofness 10 unitsWrite the equation in standard form . tell whether the interpret 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 posit the solutionsy x^2 - 4xy x - 4We see from the graph that in that respect are two intersections . one(a) corresponds to x 4 , where the line and the parabola are both nix . 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 halfway point , of coordinates (-4 8 ,-2 4...If you requirement to get a integral essay, ball club it on our website: Ordercustompaper.com

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