Preheat the Oven:
Preheat your oven to 400°F (200°C) and line a muffin tin with paper liners or grease it with cooking spray.
Mix Dry Ingredients:
In a large bowl, whisk together the cornmeal, flour, sugar, baking powder, and salt.
Combine Wet Ingredients:
In another bowl, whisk the buttermilk, melted butter, eggs, and vegetable oil until smooth.
Mix the Batter:
Pour the wet ingredients into the dry ingredients and stir gently until just combined. If adding cheese or jalapeños, fold them in now. Be careful not to overmix; the batter should be slightly lumpy.
Fill Muffin Tin:
Spoon the batter into the prepared muffin tin, filling each cup about 3/4 full.
Bake:
Bake for 15–18 minutes, or until the tops are golden and a toothpick inserted into the center comes out clean.
Cool and Serve:
Let the muffins cool in the tin for 5 minutes before transferring to a wire rack. Serve warm or at room temperature.