Finding zeros of \(y=ax^2+bx+c\) \(\iff\) Solving \(ax^2+bx+c=0\)
Quadratic equations are typically written in one of three forms:
- Factored Form
- E.g., \(3(x-5)(x+7)=0\)
- Determine the \(x\)-values that make either factor zero
- Vertex Form
- E.g., \(-4(x+3)^2+7=0\)
- Isolate for \(x\)
- Standard Form
- E.g., \(4x^2+5x-6=0\)
- Change standard form to factored form or vertex form… but there is another way.