differentiation shapes of curves

I have a graph y=3x^{4}-8x^{3}+6x^{2}+1

A question is asking me for the values of x for which the graph is concave upwards.

It has a minimum at (0,1) and a point of inflection going up at (1,2).

Minimums are concave upwards and +ve inflection points are concave upwards only after the inflection point.

I understand what it is asking me but there is a problem. The region of the graph between the minimum and the inflection - is it concave upwards or downards?

Concave down. https://www.desmos.com/calculator/mu0owkeozj

Concave up means f’’(x) > 0