
Home > A2C > Chapter 11 > Lesson 11.3.2 > Problem 11-142
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.