$\"\"$

(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) $\"\"$ .

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