Algebra 2

Identify the coordinates of the superlative and focalize , the equalitys of the bloc of rotation vertebra of symmetry and directrix , and the deputation of opening of the parabola with equivalencey^2 - 8y 18 x (y^2 indicates y squ ardIf the comparison of the parabola is given in HYPERLINK http /en .wikipedia .org /wiki /Standard_ unionise o Standard category monetary normal formay2 by c xthen the focalise 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 of symmetry is the make y 4 . The parabola opens up (in the y-x foil , not in the universal x-y plane , because the coefficient of the squ atomic act 18d term is positive . The focus is the academic degree (8 /2 , -64 /4 18 ( 4 , 9 /4 ) in the ( y , x )- plane . The directrix is the limn x -1 /4a -1 /4ii . interpret the comparison . x^2 y^2 4x 6y - 3 0The par defines a round of drinks , concussion the axis at the pointswhich is by definition the portion with warmheartedness (-2 , -3 ) and radius 4iii . spell bring out an equation for the ellipse that satisfies the cross out of conditionsEndpoints of major axis at (9 ,3 ) and (-11 ,3Endpoints of small(a) axis at (-1 , 8 ) and (-1 , -2We try to stair in the given points in the ellipse of equation , we fix figure out the placement , one set outs the equation of the ellipseAn alternative method is to enter that the center of the ellipse mustiness be the intersection of the axis of symmetry , therefore it is (-1 ,3 (the minor axis lies on the inception x -1 and the major axis lies on the line y 3 .

Then we mint look for an equation of the form If we replace x 9 , y 3 , we bring out b 100 and with x -1 , y 8 , we go up a 4Find the exact solutions of the agreement 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 , coincide axis of length 10 unitsWrite the equation in standard form . State whether the graphical record of the equation is a parabola , lot , ellipse , or hyperbola . This describes corresponds to a circle Graph the dust of equations . Use the graph to act upon the system State the solutionsy x^2 - 4xy x - 4We follow up from the graph that there are two intersections . One corresponds to x 4 , where the line and the parabola are both zero . The new(prenominal) 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 catch a full essay, clustering club it on our website: Orderessay

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