Question

When the velocity is negative but the acceleration is speeding up, which way to the velocity and acceleration vector arrows go?

Answer 1

when velocity is negative but the acceleration is speeding up, the velocity vector arrow points to the left for both arrows since its negative but accelerating

Answer 2

-- If the object is speeding up, then the acceleration must be
in the direction it's already moving.

-- So the velocity and the acceleration both point in the same direction.

-- You decide which direction is what when you start to work on the problem.