Learn Turkish: Aşçının yaptığı pasta mükemmel, hadi bir tane daha alalım. - The cake that the cook made is perfect, let's get one more.

The verb root is yap (make). We add the object participle suffix -tık (a variation of -dIk), followed by the 3rd person possessive suffix -ı because the cook ("he" or "she") is doing the making. When the vowel -ı is added, the k at the end of -tık softens to a ğ, giving us yaptığı.

Why does aşçı (cook) have the genitive (possessor) suffix -nın here?

In Turkish, when you use the -dIk relative clause, the person doing the action is grammatically treated like a possessor. Just like you would say aşçının şapkası (the cook's hat), you say aşçının yaptığı (literally "the cook's making"). The -nın on the cook pairs with the possessive -ı on the verb to show who is doing the action.

Why do we use the word tane in bir tane daha?

tane literally means "item" or "piece" and is heavily used in Turkish when counting physical things. While bir daha on its own usually means "once more" or "again" (referring to an action), saying bir tane daha specifically means "one more item" (referring to a physical object, like another cake).

What is the suffix on the verb alalım?