The axis of symmetry is x=-b/2a for f(x), the axis of symmetry is x=0, because there is no b. when x=0, f(x)=4*0²-1=-1, so the vertex is (0, -1) because a in this case is 4, a positive number, the parabola opens upward, -1 is the lowest value.
for g(x), x=-(-8)/2*1=4, f(x)=4²-8*4+5=-11, the vertex is (4,-11) because a is 1 in this case, a positive number, the parabola opens upward, -11 is the lowest value.
for h(x), x=-(-12)/[2*(-3)]=-2, f(x)=-3*(-2)²-12(-2)+1=13, the vertex is (-2,13) because a is -3 in this case, a negative number, 13 is the largest value.
f(x)'s is obviously larger than g(x) (the graph of f(x) is above that of g(x)), but for h(x), since it opens downward from y=13, it overwraps with part of f(x) and g(x), I'm not sure how you can compare that.
but if we look at the vertex alone, g(x) is the least, then f(x), then h(x) is the largest. I hope all this makes sense.
The answer is actually A g(x) is the lowest amount, h(x) being the middle, and f(x) being the largest, I see where you were going with it, but I think you miscalculated f(x), because it is larger than h(x)
The difference between convex and concave polygons lies in the measures of their angles. Another way to think of it is this: the diagonals of a convex polygon will all be in the interior of the polygon, whereas certain diagonals of a concave polygon will lie outside the polygon, on its exterior .Also If the interior angles of of the polygon are less than 180 degrees, then the polygon is convex. But if any one of the interior angles is more than 180 degrees, then the polygon is concave. T∴×∴T that was a lot
