# Questions in Section Algebra II

The fourth roots of 1296i.

Find the vertex, focus, and directrix of the parabola (x-2)^2=-(y+1). Graph the equation.

Analyze the equation. That is, find the center, vertices, and foci of the ellipse 16x^2+y^2=576 and graph it.

Prove that tan^2(x)-sin^2(x)=tan^2(x)sin^2(x).

A parabola can be drawn given a focus of (7,-8) and a directrix of y= -6. What can be said about the parabola?

Find equation of the line parallel to the line y=-4x+3/2  passing htrough the point (7,-1).

Write an equation of the parabola in vertex form that passes through (-7,-15) and has vertex (-5,9).

If r(x) = 1+3x , find r(x+2).

Find the foci, eccentricity and the directrices of the given ellipse 2x^2+ y^2-4y+3=0.

A hardware store makes a mixed bag of 42 items using screws, bolts, and washers. The cost of screws are $3.00 each, bolts cost$2.00 each, and washers are $1.50 each. The mixture calls for four times as many screws than bolts. The total cost of the mixture is$102.00. How much of each item did the store use?