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.
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