This is a free lesson from our course in Algebra II
This lesson covers important basics of a parabola like
roots,
axis of symmetry etc. Further you'll learn how to identify the
key elements and graph the parabola. You will find some examples with solution, and
the instructor explains all that with the help of audio, video presentation and
in own hand writing. The points where the graph crosses the xaxis
are called the roots of parabola and axis of symmetry is a vertical line passing
through the turning point of the parabola. You should remember: In case of parabolas of the
form: y = ax^{2} + bx + c,
• if a is positive, the parabola opens upward and has a minimum point.
• if a is negative, the parabola opens downward and has a maximum point.
• the axis of symmetry is x = (b)/2a.
(More text below video...)
(Continued from above)The points where the graph of parabola crosses the xaxis are called the roots of parabola and axis of symmetry is a vertical line passing through the turning point of the parabola i.e. through vertex.
The standard form of parabola is: y2=4ax.
The simple way of graphing parabolas is to prepare a chart based on its equation
and variable interval. Then from the graph you can determine roots, vertex. For
example, if the equation of parabola is x^{2} + 4x –
21, the roots of this equation are (7, 3) and vertex is (2,25).
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