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Find a degree 
Magazine Problem 2
Find an equation in \(x\) and \(y\) whose graph contains the points on the curve \(C\). Sketch the graph of \(C\), and indicate the orientation. $$x=1-2 t, \quad y=1+t, \quad-1 \leq t \leq 4$$
Problem 2
Exer. \(1-12\) : Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix. $$x^{2}=-3 y$$
Problem 3
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph, showing the asymptotes and the foci. $$\frac{y^{2}}{9}-\frac{x^{2}}{4}=1$$
Problem 3
Change the polar coordinates to rectangular coordinates. (a) \((3, \pi / 4)\) (b) \((-1,2 \pi / 3)\)
Problem 3
Exer. \(1-12\) : Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix. $$2 y^{2}=-3 x$$
Problem 3
Find an equation in \(x\) and \(y\) whose graph contains the points on the curve \(C\). Sketch the graph of \(C\), and indicate the orientation. $$x=t^{2}+1, \quad y=t^{2}-1 ; \quad-2 \leq t \leq 2$$
Problem 3
Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. $$\frac{x^{2}}{15}+\frac{y^{2}}{16}=1$$
Problem 4
Find an equation in \(x\) and \(y\) whose graph contains the points on the curve \(C\). Sketch the graph of \(C\), and indicate the orientation. $$x=t^{3}+1, \quad y=t^{3}-1 ; \quad-2 \leq t \leq 2$$
Problem 4
Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. $$\frac{x^{2}}{45}+\frac{y^{2}}{49}=1$$
Problem 4
Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph, showing the asymptotes and the foci. $$\frac{x^{2}}{49}-\frac{y^{2}}{16}=1$$
