Preheat oven to 350F. Line a 9X13 inch pan with parchment paper, leaving overhang on the sides so you can lift the cake after baking. In the bowl of a stand mixer fitted with the paddle attachment, add the 1 cup butter and 2 cups sugar and mix on medium speed for 3-5 minutes, until light and fluffy.
Scrape down the sides of the bowl and the paddle attatchment. Then add the ¼ cup vegetable oil and mix again until combined. Add the eggs one at a time on medium speed, mixing in between.
n a separate bowl, whisk together the flour, baking powder, baking soda, and kosher salt until combined. In a measuring cup, mix the buttermilk and vanilla extract together. Add the dry ingredients and wet ingredients into the batter in thirds, alternating between the two and starting and ending with the dry ingredients.
Pour the batter into the prepared pan and use an offset spatula to smooth the top. Bake for 30–35 minutes, or until the top is set and a toothpick inserted into the center of the cake comes out clean with no crumbs. Let the cake cool completely.