You are driving on a straight road at a constant speed when you approach a curve. on the curve you keep speed constant and are turning to the left. what is the direction of your acceleration?

In circular motion the direction of acceleration is towards the center of the curve. The force that is creating circular motion is called centripetal acceleration. In other words, the direction of the acceleration is perpendicular to the path of the curvature. In the case of a car that is driving on the curve turning left, the acceleration will point to the left. The correct answer is the first on the picture: Your left.