This week we learned how to graph quadratic equations, which is an expansion of what we have learned so far.

The general form of the equation of a quadratic function: 

Vocabulary

• Parabola: the curve of every quadratic function on the graph
• Vertex: the highest or lowest point of the parabola
• Minimum point: the lowest point(vertex) of the parabola as it opens upward
• Maximum point: the highest point(vertex) of the parabola as it opens downward
• Axis of symmetry: the line that divides the parabola equally in half
• Domain: all the possible x-values
• Range: all the possible y-values
• Congruent: the pattern that moves up by 1, 3, 5..  as it moves across the graph (determines the shape of the parabola)
• Compression: when the parabola is wider
• Stretch: when the parabola is skinnier (pattern: 2, 6, 10..)

Standard form: +q, indicates all the information needed to graph the parabola

a

• opens up or down
• stretches or compresses

p

• horizontal translation
• vertex(p,q)

q

• vertical translation(not the y-intercept)
• vertex(p,q)