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Magazine Problem 108
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=y^{2}+2 y-8$$
Problem 109
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=-4 y^{2}-4 y-3$$
Problem 110
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=-2 y^{2}+2 y-3$$
Problem 111
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=2 y^{2}-4 y+6$$
Problem 112
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$2 x=y^{2}-4 y+6$$
Problem 113
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$2 x=y^{2}-2 y+9$$
Problem 114
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$x=-3 y^{2}+6 y-1$$
Problem 115
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$y^{2}-4 y+4=4 x+4$$
Problem 116
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. $$y^{2}+2 y+1=-2 x+4$$
Problem 117
Graph each parabola by hand, and check using a graphing calculator. Give the vertex, axis, domain, and range. Prove that the parabola with focus \((c, 0)\) and directrix \(x=-c\) has equation \(y^{2}=4 c x\)
