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11-142.

4(x2 − 6x + 9) − (y2 + 10y + 25) = 5 + 36 − 25

4(x − 3)2 − (y + 5)2 = 16

This is a hyperbola.

See part (a).

(x + 5)2 + (y − 2)2 = 16
This is a circle.

See part (a).

This is an ellipse.

Set the equation equal to y and complete the square for x.

y = 3(x − 2)2 + 5
This is a parabola.