Name: ____________________________________
Period: _______________
1.)
________________
Identify the conic: ( x  1) 2  ( y  2) 2  1
2.)
________________
Identify the conic:
3.)
________________
( x  10) 2 ( y  2) 2

1
9
4
Identify the conic: x 2  y 2  10 x  12 y  37  0
4.)
________________
What is the radius of the circle: ( x  2) 2  ( y  3) 2  4
( x  3) 2 ( y  8) 2
5.)
________________ Identify the conic:

1
4
4
Determine whether the following equations are parabolas, circles, ellipses, or
hyperbolas. For each find the vertex or the center where appropriate, then graph
showing all vertices and co-vertices.
Equation
Type
Center or
Vertex
Graph
6.)
144 x 2  36 y 2  144
7.)
y2  2y  x  4  0
8.)
Center:(0,0)
Circle
Point on
graph: (-2,4)
9.)
x 2  y 2  6 x  4 y  12  0
10.)
4 x 2  25 y 2  100
Write the equation of the conic in standard form and identify: center, vertex, radius and
opening (up, down, left, right)
11. x 2  y 2  12 x  18 y  4  0
12. x 2  y 2  6 x  4 y  12  0
Please provide the rule for each function pictured below.
14)
15)
f ( x )  _____________
17)
18)
16)
f ( x )  ____________
Solve the absolute value equality
a)
x  5  6  9
b)
f ( x )  _____________
2 2 x  9  15  87
Solve the absolute value inequality and then sketch its graph.
4 x 9
a)
b)
1 x  4
19)
Bounce Pass: While playing basketball, you throw a bounce pass. The ball is 4
feet off the ground when you release it. It bounces on the floor 4 feet in front of you. The
receiver of the pass is an additional 3 feet away. The ball follows a path given by
y  x  4 . How high off the ground is the ball when the pass is caught?
NO CALCULATORS PLEASE
20)
Please provide the information requested for each rule given below.
f ( x)  2 x  2  1
f ( x)  x  3
a)
b)
Vertex: _________
Value(s) of x where f ( x )  4 ______
c)
f ( x)   x 1
Vertex: __________
x-intercept: _______
Vertex: __________
y-intercept: _______
d)
f ( x)   x  3  2
Vertex: __________
f (  ) = ___________