For the given quadratic equation convert into vertex form, find the vertex, and find
the value for x = 6. Show your work.
y = -2x2 + 2x +2
y=-2(x^2-x)+2 -2(x-1/2)^2+2+1/2=-2(x-1/2)^2+5/2 x=6 Y=-2(11/2)^2+5/2=-121/2+5/2=-58

Which statements about these triangles is true

The following graph shows the consumer price index (cpi) for a fictional country from 1970 to 1980? a.) 1976 - 1978b.) 1972 - 1974c.) 1974 - 1976d.) 1978 - 1980

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .