This is a free lesson from our course in Algebra I

 In this section, you'll be looking at graphs of the quadratic functions. Standard Form of a Quadratic Function is: f(x)= a(x-h)2 +k, The graph of the quadratic function is called a parabola and is typically a curved shape. What does 'a' tell us? When you have a quadratic function in either form, f(x)= ax2 +bx+c or f(x)= a(x-h)2 +k,   • if a > 0, then the parabola opens up.   • if a < 0, then the parabola opens down. You'll notice in the graphs in this lesson that one of the main points of a parabola is the vertex, which is the highest or the lowest point on the graph i.e. it is the maximum or the minimum point of a quadratic function.
Other useful lessons:
 A comparison of graphical solution and factoring derived solution Determine number of solutions of a quadratic from its equation
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