The standard form of a quadratic function presents the function in the form
[tex]f(x)=a(x-h)^2+k[/tex]
where (h, k) is the vertex.
The standard form is useful for determining how the graph is transformed from the graph of y = x^2. The figure below is the graph of this basic function.
You can represent a horizontal (left, right) shift of the graph of
by adding or subtracting a constant, h, to the variable x, before squaring. Here h = -3
[tex]y=(x+3)^2[/tex]
The magnitude of a indicates the stretch of the graph. a = 2
[tex]y=2(x+3)^2[/tex]
