proofs
Vertex Form Proof
Hello mathematicians, puzzlers, and other curious people! Following up on this previous video, I\’m using calculus to come up with a proof of the vertex form of a quadratic function. Calc You Later! Side note: If any of those calculus steps, like the chain rule, were hard for you to follow, you can learn Calc…
Testing Patterns
Hello mathematicians, puzzlers, and other curious people! This video contains three conjectures, one proof, and one counterexample (and therefore one open conjecture), based on this previous post. The important idea of what we did here is if we can find a formula that\’s equivalent to how we\’re coming up with some numbers, and that formula…
The Abstract Algebra of Direct Proportions
Hello mathematicians, puzzlers, and other curious people! This post previously appeared in the Mathematical Musings free class on Teachable, currently available in the Teachable archive. In a previous MMusing, I mentioned a rabbit trail upon the occasion of using the word \”group\” about functions in the form f(x)=kx, called direct proportions. I didn\’t run down…