What are the coordinates of the vertex for the function f(x) = –16x^2 + 22x + 3 and is it going to be a maximum or minimum?

if the leading term's coefficient is negative, is going down, if positive, is going up

this one is -16, thus the parabola opens downwards, meaning, goes up up up, reaches a U-turn, the vertex, then goes down down down

so, it reaches a "maximum" point at the vertex

60 ÷ -20 x makes x = -3