Page 8 - For Okta_Float

Write the standard form of each equation. Then graph the equation.
3
2
2
2
2
21. 36 x y 22. x y y
4
2
2
2
2
23. x y 4x 12y 30 0 24. 2x 2y 2x 4y 1
B 25. 6x 12x 6y 36y 36 26. 16x 16y 8x 32y 127
2
2
2
2
2
2
27. Write x y 14x 24y 157 0 in standard form. Then graph the equation.
Graphing Write the standard form of the equation of the circle that passes through the
Calculator points with the given coordinates. Then identify the center and radius.
Programs
For a graphing 28. (0, 1), (3, 2), (6, 1) 29. (7, 1), (11, 5), (3, 5)
calculator
30. (2, 7), (9, 0), (10, 5) 31. (2, 3), (6, 5), (0, 7)
program that
determines the 32. (4, 5), (2, 3), (4, 3) 33. (1, 4), (2, 1), (3, 0)
radius and the
coordinates of 34. Write the standard form of the equation of the circle that passes through the
the center of
origin and points at (2.8, 0) and (5, 2).
a circle from an
equation written
Write the equation of the circle that satisfies each set of conditions.
in general form,
visit www.amc. 35. The circle passes through the origin and has its center at (4, 3).
glencoe.com
36. The circle passes through the point (5, 6) and has its center at (2, 3).
37. The endpoints of a diameter are at (2, 3) and at (6, 5).
C 38. The points at (3, 4) and (2, 1) are the endpoints of a diameter.
39. The circle is tangent to the line with equation x 3y 2 and has its center
at (5, 1).
40. The center of the circle is on the x-axis, its radius is 1, and it passes through
2 2
the point at , .
2
2
y
Graphing 41. A rectangle is inscribed in a circle centered at the P(x, y)
Calculator origin with diameter 12.
a. Write the equation of the circle that meets these
conditions.
O x
b. Write the dimensions of the rectangle in terms
of x.
c. Write a function A(x) that represents the area of
the rectangle.
d. Use a graphing calculator to graph the function y A(x).
e. Find the value of x, to the nearest tenth, that maximizes the area of the
rectangle. What is the maximum area of the rectangle?

42. Select the standard viewing window and then select ZSquare from the ZOOM menu.
a. Select 9:Circle( from the DRAW menu and then enter 2 , 3 , 4 ) . Then
press ENTER .
b. Describe what appears on the viewing screen.
c. Write the equation for this graph.
d. Use what you have learned to write the command to graph the equation
2
(x 4) (y 2) 36. Then graph the equation.
628 Chapter 10 Conics