Practice with Parabolas
 Topic Index | Algebra Index | Regents Exam Prep Center

 

Answer the following questions dealing with parabolas.
 
1.

What is the equation of the axis of symmetry for this parabola?
Assume that the turning point (maximum point) is (1,6).

Choose:

x = 2
x = 1
 y = 1
y = 2 

 

 

2.

Will the graph of the parabola  y = -2x2 + 4x - 4  open upward or downward?

Choose:

upward 
downward

 

 

 

3.

Which of the following statements is absolutely NOT true for the parabola graphed below.

Choose:

The x-intercept is (-1,0)
The axis of symmetry is y = -1.
  The axis of symmetry is x = -1.
The "a" coefficient is positive. 

 

 

 

4.

 What is the equation of the axis of symmetry  of the graph 
y = 3x2 + 12x - 2 ?

Choose:

x = -2
x = 2
y = -2
y = 2

 

 

5.

Which is the equation for the accompanying graph?

Choose:

y = -x2 - 4
y = -x2 -2x - 4
y = x2- 2x - 3
y = -x2 + 2x + 4

 

 

6.

What are the roots of this parabola?

Choose:

3 and 1
1 and 0
 3 and -1
-4 and 0

 

 

7.

What is the turning point, or vertex, of the parabola whose equation is y = 3x2 + 6x - 1?

 

Choose:

(1,8)
(-1,-4)
 (-3,8)
(3,44)

 

 

8.

For which quadratic equation (parabola)
is the axis of symmetry x = 3?

Choose:

y = -x2 + 3x + 5
y = x2 + 6x + 3
 y = -x2 + 6x + 2
y = x2 + x + 3

 

 

9.

The height, y, in feet, a ball will reach when thrown in the air is given by the equation
 y = -16x2 + 30x + 6.  Find to the nearest tenth, the maximum height, in feet, the ball will reach.

Choose:

39.3 feet
 33.2 feet
 20.0 feet
 20.1 feet

 

 

10.

A baseball player throws a ball from the outfield toward home plate.  The ball's height above the ground is modeled by the equation y = -16x2 + 48x + 6, where y represents height, in feet, and x represents time, in seconds.  The ball is initially thrown from a height of 6 feet.  What is the maximum height that the ball reaches?

Choose:

76 feet
 54 feet
 48 feet  
 42 feet