Multiple Choice Practice
Coordinate Geometry
Algebra 2 Trigonometry Level
 Algebra 2Trig Index | Regents Exam Prep Center

Also available in Hardcopy (.pdf):
Coordinate Geometry
 

Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time.
You may use your graphing calculator when working on these problems.

1.  The equation x² + y² + 4x - 2y - 1 = 0 is equivalent to
       [1]  (x + 2)² + (y + 1)² = 6
      [2]  (x + 2)² + (y + 1)² = 11
      [3]  (x + 2)² + (y - 1)² = 6
      [4]  (x + 2)² + (y - 1)² = 11   

 

 

2.  The graph of x² + y² = 16 can be described as a

     [1]  parabola with vertex at (0,4)
     [2]  circle with its center at the origin and a radius of 8
     [3]  circle with its center at (0,2) and a radius of 4
     [4]  circle with its center at the origin and a radius of 4
 

 

 

3.  Automated circular walkers are used to help horses warm-up prior to their exercise routines or to cool down after strenuous workouts. Which of the following equations represents the layout of the horse walker depicted in the graph at the right?  

         [1]  (x + 2)² + (y + 2)² = 2
         [2]  (x + 2)² + (y + 2)² = 4
         [3]  (x - 2)² + (y - 2)² = 2
         [4]  (x - 2)² + (y - 2)² = 4
 

 

4.  Which graph has line symmetry with respect to the y-axis?

   [1] y = sin(x)        [2] y = x²        [3] y = ln(x)     [4] (x - 1)² + (y + 3)² = 9

 

 

 

5.  Which function is represented by the graph shown at the right?

   [1] m1a
   [2] m1b
   [3] m1c
   [4] m1d

 CG graph2
 

6.  If the domain of f (x) = 2x + 1 is { -1< x < 5 }, which value is not in the range?

     [1]  -2                       [2] 0                      [3] 1                      [4] 10
 

 

 

7.  The graph at the right depicts the inverse of which of the following functions?

    [1]  m71 
    [2]  m72
    [3]  m73
    [4]  m74

 graph4

 

8.  What choice represents all of the x-intercepts of the cubic function f (x) = x³ - x² - 12x ?    

    [1] (-3,0), (4,0)  [2] (4,0), (0,0), (-3,0) [3] (0,-3), (0,0), (0,4)   [4] (0,0), (3,0)
 

 

9.  Find the center and radius of x² + y² - 12x - 8y = -27.

     [1] center = (6,4), radius = 5
     [2] center = (6,4), radius = 25
     [3] center = (-6,-4), radius = 5
     [4] center = (-6,-4), radius = 25
 

 

10.  The graph of the equation m10 intersects
     [1]  the x-axis only
     [2]  the y-axis only
     [3]  both the x-axis and the y-axis
     [4]  neither the x-axis nor the y-axis
 

 





Algebra 2 Trig Index | Regents Exam Prep Center