Thread: Transformation of functions

In the form y=af(k(x-d) + c, I have a problem with a quadratic function that needs to be simplified, however.. for y= 7f(-1/6(x - 1)) +1, I seem to be stumped.. after the first step which is just distributing -1/6.. I come up with f(x) = 7(-1/6x + 1/6)^2 + 1. Im not sure what the next step would be to be honest, i've never had experience with simplifying "transformed" quadratic functions just linear functions. Any tips? Did insert the exponent correctly? I also tried working this out on "geometers sketchpad" and cant seem to come up with any further simplified steps. Any help/guidance is much appreciated, thanks.

(I dont want the answer, just some guiding advice)

I tried distributing 7 as the numerator for the fractions inside the brackets and that doesnt seem to work once graphed.

I'm just gonna assume its simplified to the furthest extent possible....