Write \displaystyle y = −x^2 + 12x − 5y=−x2+12x−5 into the form \displaystyle y = a(x − h)^2 + k. y=a(x−h)2+k. GIVEN that h =h=\frac{-b}{2a}2a−b​ and k=k= \fra c{4ac-b^{2}}{4a}4a4ac−b2​

then hh= kk=

FINALLY yy= (x-x− )^{2}2++​

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.

If you have a iphone the new measure app can you with that