Preheat oven to 350°F and coat an 8 ½ x 4 ½ inch loaf pan with cooking spray.
Whisk together flour, baking soda, and salt in a small bowl.
In a large bowl, beat the sugar and butter until light and fluffy.
Add eggs one at a time, mixing well. Stir in mashed bananas, yogurt, and vanilla until blended.
Add flour mixture slowly, mixing on low until just combined.
Pour batter into loaf pan and bake for 50–60 minutes, or until a toothpick comes out clean.
Cool in pan for 10 minutes, then transfer to a wire rack to cool completely.