(a)
The conic equation is .
Compare it to general form of conic equation is .
Substitute above values in the determinant formula.
and are different signs the equation represents an ellipse.
(b)
The conic equation is .
Write the equation in quadratic form .
Roots are
.
(c)
Choose random values for and solve for .
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Graph:
(1) Draw the coordinate plane.
(2) Plot the points and connect the plotted points.
(3) Graph the .
(a) The conic equation represents an ellipse.
(b) .
(c) Graph the .
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