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 ( ) = ___________