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> complete the square AND provide a geometric interpretation of the expression that results. +1 for this. This is the approach I would recommend too, see Figur
by ivansavz 5y ago
> complete the square AND provide a geometric interpretation of the expression that results.
+1 for this. This is the approach I would recommend too, see Figure 2.2 for the picture behind the completing the square trick: https://minireference.com/static/excerpts/noBSmath_v5_preview.pdf#page=23 https://minireference.com/static/excerpts/noBSmath_v5_previe...
- civilized 5y agoYes, and it has a coordinate geometry interpretation too. Completing the square represents the original quadratic function as a basic x^2 parabola that's been scaled vertically, shifted vertically, then shifted horizontally. If you understand what each of these three operations do to the roots of the parabola, you can derive the quadratic formula. (It's basically just the algebraic way with diagrams, but may help the geometry-loving/algebra-hating types out there.)