Name ________________      Precalculus Exploration 4 Quiz    Date ____________                   

Note that you must show all work on each problem to get full credit.

1.  Write an equation of the circle that is tangent to the y-axis and whose center is (2, 3).






2.  Rewrite the equation of the circle below in standard form and find its center and radius. Also, accurately sketch the circle.

2*x^2-4*x+2*y^2-y = -1/8






3.  Find any points of intersection of the following line and circle, and accurately sketch the two figures.

y = -1/2*x-1/2, `  `*(x+1)^2+(y+2)^2 = 25