Practice Problems
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The Vertex Point

 

Graph the parabolic function. Identify a minimum of 5 points of the parabola on the graph of the parabola. Identify the Vertex point.

 

1) f(x) = -3(x2 ) + 6x + 1

2) f(x) = 2x2 + x + 1

3) f(x) = ( x + 4 ) ( 2x - 2 )

4) f(x) = -1(x2 ) - 2

 

 

The Axis of Symmetry

 

Graph the parabolic function. Identify a minimum of 5 points of the parabola on the graph of the parabola. Identify the equation of the axis of symmetry.

 

1) f(x) = 3(x2 ) + 6x + 2

2) f(x) = -4x2 - 6x + 2

3) f(x) = ( 2x - 1 ) ( -2x + 2 )

4) f(x) = (1/4)(x2 ) + 1

 

The Y-Intercept

 

Graph the parabolic function. Identify a minimum of 5 points of the parabola on the graph of the parabola. Identify the coordinates of the y-intercept.

 

1) f(x) = ( x - 3 )2 - 9

2) f(x) = ( x - 4 )2 - 15

3) f(x) = x2 + 4x - 2

4) f(x) = x2 + x + 1

 

The X-Intercept(s)

 

Graph the parabolic function. Identify a minimum of 5 points of the parabola on the graph of the parabola. Identify the coordinates of the x-intercepts.

 

1) f(x) = ( x - 3 )2 - 9

2) f(x) = ( x + 1 )2 - 1

3) f(x) = -2(x2 ) - 2

4) f(x) = x2 + 2x + 1