Notes: Graphs of Parabolic Quadratics
Name___________________________________________________
Characteristics of Graphs of Quadratics
1.
Graph y = x2 - 4x -5
Identify the vertex of the quadratic ____________________
Identify the axis of symmetry of the quadratic______________________
Identify the minimum or maximum value of the function________________________
Identify the domain of the quadratic.__________________________
Identify the range of the quadratic_________________________
How many zeros does the graph have? What are the x-intercepts?
_________________________________________
Comparing Graphs of y = ax2
2.
Graph y = x2
Graph y = 2x2
Graph y = ½ x2
How does the coefficient of x2 affect the shape of the quadratic?
Comparing Graphs of y = ax2 + c
3.
Graph y = x2
Graph y = x2 + 2
Graph y = x2 - 2
How does the constant number affect the shape of the quadratic?
(2, 4) and (6, 4) are on opposite sides of the axis of symmetry of a parabola.
What is the equation of the axis of symmetry?
(3, 2) and (7, 2) are on opposite sides of the axis of symmetry of a parabola.
What is the equation of the axis of symmetry?
(3, 2) is a point on a parabola. If the axis of symmetry is x = 5, what is the point on
the opposite side of the axis of symmetry?
Algebra I 2011 Item #5
Algebra I 2014 Item #40
Algebra I 2013 Item #19