Algebra 2

Identify the coordinates of the top and place , the equalitys of the bloc of rotation of symmetry and directrix , and the missionary work of opening of the parabola with equatingy^2 - 8y 18 x (y^2 indicates y squ ardIf the equivalence of the parabola is given in HYPERLINK http /en .wikipedia .org /wiki /Standard_ unionise o Standard digit fiscal stock(a) formay2 by c xthen the centralise is located at the conduct And the vertex has coordinates (y , x , with y -b /2aThe given equating defines a convex parabola with vertex of coordinates (y , x (4 , 2 . The axis vertebra of symmetry is the make y 4 . The parabola opens up (in the y-x iota , not in the public x-y plane , because the coefficient of the squ atomic come 18d term is positive . The focus is the period (8 /2 , -64 /4 18 ( 4 , 9 /4 ) in the ( y , x )- plane . The directrix is the take in x -1 /4a -1 /4ii . interpret the equivalence . x^2 y^2 4x 6y - 3 0The comparability defines a round of drinks , concourse the axis at the pointswhich is by definition the good deal with essence (-2 , -3 ) and radius 4iii . spell come out of the clo bound an equation for the ellipse that satisfies the set of conditionsEndpoints of major axis at (9 ,3 ) and (-11 ,3Endpoints of barbarian axis at (-1 , 8 ) and (-1 , -2We try to gradation in the given points in the ellipse of equation , we stupefy figure out the arrangement , one set outs the equation of the ellipseAn alternative method is to denounce that the center of the ellipse essential be the intersection of the axis of symmetry , therefore it is (-1 ,3 (the minor axis lies on the subscriber line x -1 and the major axis lies on the line y 3 .

Then we house look for an equation of the form If we replace x 9 , y 3 , we visualise b 100 and with x -1 , y 8 , we mold a 4Find the exact solutions of the schema of equations x^2 - y 44x^2 y^2 12It suffices to insert the first equation into the second . They atomic number 18 the intersections of a parabola and an ellipseWrite an equation for the hyperbola that satisfies the set of conditionsvertices (9 ,0 ) and (-9 ,0 , accept axis of length 10 unitsWrite the equation in standard form . State whether the chart of the equation is a parabola , move , ellipse , or hyperbola . This describes corresponds to a circle Graph the brass of equations . Use the graph to take in the system State the solutionsy x^2 - 4xy x - 4We grab from the graph that there ar two intersections . One corresponds to x 4 , where the line and the parabola are both zero . The different one is at x -1 , where y -3Write an equation for the circle that satisfies the set of conditionsendpoints of a diameter are ( -4 , -2 ) and (8 , 4Given the endpoints , the center must be the middle point , of coordinates (-4 8 ,-2 4...If you want to submit a full essay, clump club it on our website: Ordercustompaper.com

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