A quadratic graph is produced when you have an equation of the form \(y = ax^2 + bx + c\), where \(b\) and \(c\) can be zero but \(a\) cannot be zero. All quadratic graphs have a line of symmetry.
Exponential graphs are graphs in the form \(\text{y = k}^x\). These graphs increase rapidly in the \({y}\) direction and will never fall below the \({x}\)-axis.