Answer:
A
Explanation:
For f(x) the leading coefficient is positive meaning that it has a minimum. You can find the minimum value by finding the vertex of f(x).
-b/2a = -4/2*1 = -2 is the x coordinate (which is the same as g(x))
the y can be found by plugging in -2
y=-2^2 + 4*-2 + 6
y= 4 + -8 + 6
y=2
If the vertex is (-2, 2) and has a minimum, that means it never touches the x-axis and so g(x) has more x-intercepts