**Unformatted text preview: **e center and
the radius or explain why the equation does not represent a circle.
(a) x2 − 4x + y 2 + 10y = −25
(b) −2x2 − 36x − 2y 2 − 112 = 0
(c) x2 + y 2 + 8x − 10y − 1 = 0 (d) x2 + y 2 + 5x − y − 1 = 0
(e) 4x2 + 4y 2 − 24y + 36 = 0
(f) x2 + x + y 2 − 6 y = 1
5 3. Find the standard equation of the circle which satisﬁes the following criteria:
(a) center (3, 5), passes through (−1, −2) (c) endpoints of a diameter: (3, 6) and (−1, 4) (b) center (3, 6), passes through (−1, 4) (d) endpoints of a diameter: 4. Verify the following points lie on the Unit Circle: (±1, 0), (0, ±1),
√ and ± 1
2, 4
√
√
± 22 , ± 22 , , 3
2 , −1
√
± 1 , ± 23
2 3
1
2 , ±2 5. The Giant Wheel at Cedar Point is a circle with diameter 128 feet which sits on an 8 foot
tall platform making its overall height is 136 feet.2 Find an equation for the wheel assuming
that its center lies on the y -axis.
6. Find an equation for the function represented graphically by the top half of the Unit Circle.
Explain how the transformations is Section 1.8 can be used to produce a function whose graph
is either the top or bottom of a...

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