Explore the sliders for \(a\), \(b\), and \(c\) to see how changing these values impacts the graph of the parabola.
Graphing Quadratic Functions | Desmos
Explore this graph of the quadratic parent function. What can be said about the vertex? What about the orientation (does it open up or down?)
\(y=x^2\)
A quadratic function can be written in standard form, as shown in the “slider” function in green below.
\(y=ax^2 + bx + c\)
For the Explore the sliders for \(a\), \(b\), and \(c\) to see how changing these values impacts the graph of the parabola.
Note that \(a = 0\) to begin with.