Preheat oven to 350°. Line a 7-inch springform pan with parchment paper and butter the sides and bottom.
In a small bowl, sift together flour, baking powder, baking soda, salt and cinnamon.
In a large mixing bowl, beat butter and sugar on high speed for 2–3 minutes, until light and fluffy.
Mix in the egg, vanilla, and Greek yogurt; beat for another minute until smooth and creamy. Add the flour mixture and mix on low speed just until combined. Do not overmix.
Gently fold the sliced apples into the batter using a spatula then transfer batter to the cake pan and spread the batter evenly.
Bake for 55–65 minutes. At the 45 minute mark, cover the top loosely with aluminum foil to prevent over-browning. The cake is done when golden brown and a toothpick inserted in the center comes out clean.
Let cool in the pan for 40-45 minutes before releasing the springform ring. Serve as is, or dust with powdered sugar before serving.