The essential concept here is to understand how perfect squares work. Before we get to that, let's recall how the vertex form is related to the standard form of Quadratics[br][br]Suppose you have the quadratic [math]f\left(x\right)=3\left(x-5\right)^2+2[/math]. How is this put into standard form?[br]Slide the "steps" slider to see how.

You can see the standard form of [br][math]f\left(x\right)=3\left(x-5\right)^2+2[/math] is [math]f\left(x\right)=3x^2-30x+77[/math]