# Honors Algebra 2: Review of Parabolas Worksheet

• Class: Honors Algebra 2
• Author: Peter Atlas
• Text: Algebra and Trigonometry: Structure and Method, Brown

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Given the parabola $$y = ax^2 + bx + c$$

Conclusion Example: $$y = 2x^2 - 4x - 16$$
a > 0
a < 0
a = 0
|a| > 1
|a| < 1
Axis of Symmetry:
Nature of x-intercepts determined by Discriminant D:
D > 0 and is a perfect square
D > 0 and is not a perfect square
D = 0
D < 0
x-intercepts:
y-intercept:
Distane from Vertex to Focus and Directrix to Vertex:
To get into Vertex form:
Focus in Vertex Form:
Directrix in Vertex Form: