Ex 1: Find the Equation of a Transformed Quadratic Function From a Graph

This video explains how to determine the equation of a quadratic function from a graph that has been reflected and shifted, up/down, left/right.

[isaacrodriguez]

All your videos are great! If I may offer some input, I think it is much easier to use the formula f(x)= af(x-c)+d and to plug in the point of the vertex for 'c' and 'd' without having to change the signs. For me that makes a huge difference rather than having to remember the rule AND the formula, now all I have to do is remember that formula.

[linusporter]

Hey, just wanted to share that your comment at 2:54 regarding how C shifts things left/right "opposite how we think" kinda screwed me up for a day, because it made perfect sense to me until this comment made me question myself. I know it was meant to speak to others who were confused by the concept, but for those who it makes sense for, it leaves us (well me anyway) feeling weird about it.

It's totally logical that -C shifts right, because you're requiring that much more for X to cross the threshold. If you +C instead, it's a boost, which means it will shift left because it crosses vertically quicker. I dunno, it doesn't confuse me at all because it's just algebra. Proving it with numbers means I just look at and think about how it affects the outcome. You're not flipping polarity for C as some might think (that's bad logic), you're using C to offset the origin along the X-axis.

[eliasnaseef]

Thanks, but, what about the b factor in a*f(b(x+c))+d ?