Using the brakes all the way into the apex of the corner helps to increase cornering speed by transferring more weight to the front wheels to increase grip. It'

Using the brakes all the way into the apex of the corner helps to increase cornering speed by transferring more weight to the front wheels to increase grip. It's called trail braking. This isn't relevant for your example as in your example, you are entering the freeway on-ramp at a low speed and accelerating throughout the entire corner. Navigating a corner at highest possible speed means you're arriving at the corner at a high speed and must decelerate in order to make the corner. It's not immediately clear to me why you would use gas and brake at the same time in an automatic transmission vehicle. The only reason I can think of would be to keep the revs of the engine in the powerband and prevent the car from downshifting so that you can immediately have full power when you accelerate out of the apex. In a manual transmission vehicle, there's a technique called heel-and-toe where you blip the gas pedal with your heel to rev-match the engine on your downshift while braking with your toe and depressing the clutch with your left foot, but you're never introducing force to the front wheels that would counter the force of the brakes.