Introduction to quadratic functions  Quadratic Functions
Introduction to quadratic functions
Three properties that are universal to all quadratic functions: 1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior); 2) The domain of a quadratic function is all real numbers; and 3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downward.
Lessons

1.
Determining the Characteristics of a Quadratic Function Using Various Methods
Determine the following characteristics of the quadratic function $y = 2x^2 + 4x + 6$:
• Opening of the graph
• $y$intercept
• $x$intercept(s)
• Vertex
• Axis of symmetry
• Domain
• Range
• Minimum/Maximum value

2.
From the graph of the parabola, determine the:
• vertex
• axis of symmetry
• yintercept
• xintercepts
• domain
• range
• minimum/maximum value