The graph of which function will have a maximum and a y-intercept of 4? f(x) = 4x2 + 6x - 1 f(x) = -4x2 + 8x + 5 0 f(x) = -x²+2x+4 o f(x) = x2 + 4x-4. zs

Given the conditional statement, match the following. conditional statement: if two lines intersect, then their intersection is one point.

Measure of angles 31 (x+4) (3x+9) me

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) = .