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Conic Sections Answers

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Complete the statements to describe the graph that represents the equation (y – 8) = –2(x – 2)2.

Answers:
The vertex is .:(2, 8)
The directrix is y = .:8.125
The focus is .:(2, 7.875)
The focal width is .:0.5
170840

–7.875–8.1257.875✔ 8.125

A
–7.875
B
–8.125
C
7.875
D
8.125
170841

(2, –8.125)(2, –7.875)✔ (2, 7.875)(2, 8.125)

A
(2, –8.125)
B
(2, –7.875)
C
(2, 7.875)
D
(2, 8.125)
170842

0.125✔ 0.528

A
0.125
B
0.5
C
2
D
8
170844

Which equation describes the circle?

A
(x – 4)2 + (y + 1)2 = 25
B
(x – 4)2 + (y + 1)2 = 5
C
(x + 4)2 + (y – 1)2 = 25
D
(x + 4)2 + (y – 1)2 = 5
170845

Which equation has a vertex at (0, 5) and focus of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
170846

Which equation has a vertex at (3, –2) and directrix of y = 0?

A
Option
B
Option
C
Option
D
Option
170848

Which equation has a center at (2, 1) and a point on the circle of (2, –3)?

A
(x + 2)2 + (y + 1)2 = 16
B
(x – 2)2 + (y – 1)2 = 4
C
(x – 2)2 + (y – 1)2 = 16
D
(x + 2)2 + (y + 1)2 = 4
170849

The vertex is .

A
(2, 8)
B
(2, –8)
C
(–2, 8)
D
(–2, –8)

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