Name: ____________________________________________ Date: ______________ Period: ____
7.6 Pre-AP Conics Review
Write an equation for the circle that
satisfies each set of conditions.
Find the center and radius of the circle with
the given equation. Then graph the circle.
6. (x + 3)2 + y2 = 16
1. center (-3, 2), radius 6 units
Center:
Radius:
2. center (0, -1), radius 3 units
3. endpoints of a diameter at (-4, 9) and (2, -7)
4. center at (-9, -12), passes through (-4, -5)
7. (x - 3)2 + (y + 4)2 = 9
Center:
5. Write the equation for the graph.
y
(-2,2)
(4,2)
x
(4,-4)
Equation:
Domain:
Range:
Radius:
8. Graph the ellipse and give the parts.
9. Given an ellipse with vertices at (-5, -4), (7, -4)
 x  2
and co-vertices at (1, 0), (1, -8), find the following:
2
9
2
25
8
6
4
2
-8 -6 -4 -2
 y  3

1
8
6
4
2
y
-8 -6 -4 -2
x
2
-2
-4
-6
-8
4
6
8
y
x
2
-2
-4
-6
-8
4
6
8
Center _____________
Center _____________
Equation :
Length of major axis __________
Length of minor axis __________
Length of major axis __________
Length of minor axis __________
Domain ______________ Range _____________
Domain ______________ Range _____________
Write the equation for each ellipse:
10.
11.
4
12.
y
y
y
8
8
6
6
4
4
2
2
2
x
-4
-2
2
4
6
8
-2
-4
-6
x
-4
-2
2
4
6
8
x
-4
-2
2
-2
-2
-4
-4
4
6
8
-8
Equation:_______________
Equation:_______________
Equation:_______________
13. Tell which direction the parabola will open- Up, Down, Left, Right. Give the coordinates of the vertex.
______ x  
(
1
2
 y  6  3
2
,
)
______ y  2  x  1  3
2
(
,
______ y  2  x  6   3
)
Graph the given conic sections
14. y = 
1
(x – 4)2 +1
2
Vertex –
Opens –
Domain –
Range –
Axis of Symmetry –
15. x = 2 (y – 3)2 – 1
Vertex –
Opens –
Domain –
Range –
Axis of Symmetry –
2
(
,
)
16. Graph the hyperbola and give the parts.
 x  2
 y  3

2
9
17. Graph the hyperbola and give the parts.
 y  2
2
25
1
9
y
–10
–8
–6
–4
 x  3

2
25
1
y
10
10
8
8
6
6
4
4
2
2
–2
2
2
4
6
8
x
10
–10
–8
–6
–4
–2
2
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
4
6
8
10
x
Center _____________ Direction ________
Center _____________ Direction ________
Slope of the Asymptotes _____________
Slope of the Asymptotes _____________
Domain:
Domain:
Range:
Range:
Write the equation of the hyperbola and give all the parts.
18.
y
x
-4
-2
2
4
6
Equation:
8
-2
Center –
Direction –
-4
Slope of the Asymptotes –
-6
Domain
Range
-8
y
4
19.
Equation:
2
x
-4
-2
2
4
6
8
Center –
Direction –
Slope of the Asymptotes –
-2
-4
-6
Domain
Range