Answer
NH₃ is a base
HOH the acid
NH₄+the conjugate acid
OH the conjugate base
Procedure
Upon inspection of the equation, we see that NH₃ has turned into NH₄+, which means that it gained a proton (a hydrogen ion), while HOH (water) has turned into OH, and so has lost a proton.
Using the Bronsted-Lowry acid-base theory, acids donate protons and bases accept protons.
So here, NH₃ is a base, as it accepted a proton to form NH₄+, and that makes HOH the acid, as it donated a proton and turned the reactant into OH.
In the Bronsted-Lowry acid-base theory a conjugate acid is a base that has accepted a proton, while a conjugate base is an acid that has lost a proton.
Since NH₄+ is formed after the base, NH₃, has gained a proton, then that makes NH₄+the conjugate acid. Meanwhile, OH is the result of HOH, the acid, donating its proton, thus making OH the conjugate base.