Practice Page
Directions: Grab your paper and pencil. Write a solution to the following problems. Be sure to show your work to support your answer. Use your graphing calculator for checking only.

1.
Consider the equation y = x2 - x - 6. Answer the following questions, stating how you arrived at your answer.
a) Determine whether the parabola opens upward or downward.
b) Find the y-intercept.
c) Find the x-intercepts, if any.
d) Find the equation of the axis of symmetry.
e) Sketch the graph.



2.
Given a quadratic function, which of the following choices explains the meaning of the zeros graphically.
       Choose:
 
When factored, f (x) = (x - p)(x - q) where p and q correspond to the y-intercepts.
  When factored, f (x) = (x - p)(x - q) where p and q correspond to the x-intercepts.
  When factored, f (x) = (x - p)(x - q) where p and q correspond to the turning points of the graph.
  When factored, f (x) = (x - p)(x - q) where p and q correspond to the axis of symmetry.




3.
Which of the following equations could describe the function seen in the graph at the right? (Check all that apply!)
 
y = (x + 2)(x - 5)

y = -2x2 + 4x - 1

y = (x - 6)(x - 10)

y = (x + 5)2 + 4

y = (x - 8)2 - 6

y = (15 - x)(10 - x)

y = (-x + 3)(x - 5)

        
nakedgraph




4.
Shown below is the equation for function f (x), and the graph of parabolic function g (x). Which function has the larger maximum?
   Choose:
f (x)
g (x)
f (x) = -(x - 4)2 + 5
graphprac4a




5.
What is the equation of the axis of symmetry for this parabola?
       Choose:
  x = 2 graphprac55
  y = 4
  x = -2
  y = -2
   




6.
Which of the following statements is NOT true for the parabola seen in the graph?
       Choose:
  The axis of symmetry is x = 1. graphpra6
  The vertex is (1,-3).
  The "a" coefficient is positive.
  The parabola has two positive roots.
   


 

7.
What is the equation of the axis of symmetry of the graph:
y = 3x2 + 6x - 1
       Choose:
 
x = 2
x = -1
x = 1
x = -2


 

8.
Which equation could be the equation of the graphed parabola?
       Choose:
  y = -x2 - 4x - 5 graphprac7
  y = -x2 + 4x - 5
  y = x2 - 4x - 5
  y = x2 + 4x - 5
   

 

 

9.
What are the roots of the graphed parabola, assuming the roots to be integers?
       Choose:
  x = ± 2 graphpra8
  x = ± 4
  x = 2; x = 2
  x = 4; x = 4
   


 

10.
What is the vertex, or turning point, of the parabola y = 4x2 - 6x - 1?
       Choose:
 
gp10d
gp10c
gp10b
gp10a

 



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