Answer:
Explanation:
Given functions f(x) and g(x). f(x) is:
Converted into vertex form, it is:
g(x) has vertex at (-2, -14), it's vertex form is:
Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).
Both have positive leading factors, therefore the vertex is their minimum point.
Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.
Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.
Correct choice is A