Preheat your oven to 350°F (175°C). Grease and flour a baking pan.
In a mixing bowl, whisk together the flour, sugar, baking powder, and baking soda.
In another bowl, combine the Greek yogurt, vegetable oil, eggs, vanilla extract, and lemon zest.
Gradually add the wet ingredients to the dry ingredients, mixing until just combined.
Pour the batter into the prepared baking pan and smooth the top.
Bake for 45 minutes, or until a toothpick inserted into the center comes out clean.
Let the cake cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.