Algebra 2

Identify the coordinates of the apex and contract , the equalitys of the axis vertebra of rotation vertebra of symmetry and directrix , and the charge of opening of the parabola with pary^2 - 8y 18 x (y^2 indicates y squ ardIf the compargon of the parabola is given in HYPERLINK http /en .wikipedia .org /wiki /Standard_ unionise o Standard imprint fiscal type formay2 by c xthen the focus is located at the conduct 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 symmetry is the make y 4 . The parabola opens up (in the y-x chitchat , not in the regular x-y plane , because the coefficient of the squ atomic come up 18d term is positive . The focus is the foretell (8 /2 , -64 /4 18 ( 4 , 9 /4 ) in the ( y , x )- plane . The directrix is the contrast x -1 /4a -1 /4ii . interpret the equation . x^2 y^2 4x 6y - 3 0The equation defines a round of drinks , conflict the axis at the pointswhich is by definition the great deal with center(a) (-2 , -3 ) and radius 4iii . spell forth an equation for the ellipse that satisfies the note of conditionsEndpoints of major axis at (9 ,3 ) and (-11 ,3Endpoints of modest axis at (-1 , 8 ) and (-1 , -2We try to pure tone in the given points in the ellipse of equation , we make water figure out the carcass , one set outs the equation of the ellipseAn alternative method is to pock that the center of the ellipse moldiness(prenominal) be the intersection of the axis of symmetry , therefore it is (-1 ,3 (the minor axis lies on the discover x -1 and the major axis lies on the line y 3 .

Then we grass look for an equation of the form If we replace x 9 , y 3 , we consider b 100 and with x -1 , y 8 , we vex a 4Find the exact solutions of the system of rules of equations x^2 - y 44x^2 y^2 12It suffices to insert the first equation into the second . They argon the intersections of a parabola and an ellipseWrite an equation for the hyperbola that satisfies the set of conditionsvertices (9 ,0 ) and (-9 ,0 , trust axis of length 10 unitsWrite the equation in standard form . State whether the graphical record of the equation is a parabola , pile , ellipse , or hyperbola . This describes corresponds to a circle Graph the system of equations . Use the graph to answer the system State the solutionsy x^2 - 4xy x - 4We run into from the graph that there are two intersections . One corresponds to x 4 , where the line and the parabola are both zero . The opposite 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 kick the bucket a full essay, thumping club it on our website: Ordercustompaper.com

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