Practice Page
Directions: Grab your paper, pencil and graphing calculator. Find the solution to the following problems. Be sure to show your work where needed.

1.
Given f (x) = 3x2+ 6x - 2 and the graph of g(x) shown at the right.
Find the difference between the values of the maximum of g(x) and the minimum of f (x).

  Choose:
  1  
  3
  4
  9
graphprac55

 

 

2.
Which quadratic equation has a minimum value of -12.5 and
x-intercepts of 3 and -2 ?
       Choose:
 
x2 - x - 6
  2x2 - 2x - 12
  3x2 - 3x - 18
  4x2 - 4x - 24




3.
Given f (x) = (x - 2)2 - 4, and h(x) as defined by the table below.
 

Which of the following statements must be true, based upon this given information?

I: Both f (x) and h(x) have same x-intercepts.

II. Both f (x) and h(x) have y-intercept at y = -4.

Choose:
  I, only  
  II, only
  I and II
  Neither I nor II
x h(x)
-1 0
0 -4
1 -6
2 -6
3 -4
4 0




4.
The graph of a parabolic function is shown below.

"If the equation
(x - 1)2 + (y - 2)2 = 36
is graphed on this same axis,
this new equation will intersect
with the vertex of the parabola."

Is this statement TRUE or FALSE?

   Choose:
TRUE
FALSE




5.
Given the equation y = (x - 3)2 + 2.
Which of the features listed below is incorrect regarding this graph?
       Choose:
  The vertex is (3,-2).  
  The graph opens upward.
  The minimum value is -3.
  The y-intercept is (0,11).
  The axis of symmetry is x = 3.




6.
Regarding the graph of the equation y = x2 - 8x - 20, use the discriminant to determine which statement is true.
       Choose:
  The graph does not intersect the x-axis.  
  The graph is tangent to the x-axis.
  The graph intersects the x-axis in two distinct points with irrational coordinates.
  The graph intersects the x-axis in two distinct point with rational coordinates.


 

7.
Given x2 + y2 = 5 and y = -3x graphed on the same axis.
The point of intersection in Quadrant IV will be ____.
       Choose:
 
(-1, 3)
(-3,1)
(1,-3)
(1,-1)


 

  8. Given the graph shown below. Assume integer roots as indicated.
      Which statement is TRUE?
       Choose:
  y = x2 + 4x - 5  
  axis of symmentry x = 1.5
  minimum (1, -9)
  y = -x2 + 4x - 5
  y = (x - 2)2 - 9
  discriminant value is zero
  x → ∞. y → - ∞

 

 

9.
Which choice describes the discriminant for the graph shown at the right?

Choose:
  it is a non-zero perfect square  
  it is not a perfect square
  it is zero
  it is a negative value
graphpra8


 

10.
Which fact is not true regarding the graph of y = 4x2 - 6x - 1?
       Choose:
 
The discriminant is not a perfect square.
  The axis of symmetry is the line 4y + 3 = 0.
  The vertex is gp10b.
  The zeros of the function are irrational.


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