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Magazine Problem 100
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$y=-3 x^{2}+24 x-46$$
Problem 101
Use the definition of an ellipse to find an equation of an ellipse with foci \((3,0)\) and \((-3,0),\) where the sum of the distances from any point of the ellipse to the two foci is 10
Problem 101
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=y^{2}+2$$
Problem 102
Use the definition of a hyperbola to find an equation of hyperbola with center at the origin, foci \((-2,0)\) and \(=2,0),\) and the absolute value of the difference of the Jistances from any point of the hyperbola to the two foci equal to 2
Problem 102
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=(y+1)^{2}$$
Problem 103
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=(y-3)^{2}$$
Problem 104
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$(y+2)^{2}=x+1$$
Problem 105
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=(y-4)^{2}+2$$
Problem 106
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=-2(y+3)^{2}$$
Problem 107
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=\frac{2}{3} y^{2}-4 y+8$$
