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11-142.
  1. Change each of the following equations to graphing form, identify the conic, and sketch the graph. Homework Help ✎

    1. 4x2y2 − 24x − 10y = 5

    2. x2 + y + 10x − 4y = −13

    3. 4x2 + 9y2 + 24x − 36y = −36

    4. 3x2 − 12x − y = −17

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.