let's analyze each case to determine the solution
case 1) f(0) = 2 and g(–2) = 0
For x=0-----> find the value of f(0) in the graph-----> f(0)=4
For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0
therefore
the statement of the case 1) is false
case 2) f(0) = 4 and g(–2) = 4
For x=0-----> find the value of f(0) in the graph-----> f(0)=4
For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0
therefore
the statement of the case 2) is false
case 3) f(2) = 0 and g(–2) = 0
For x=2-----> find the value of f(2) in the graph-----> f(2)=0
For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0
therefore
the statement of the case 3) is true
case 4) f(–2) = 0 and g(–2) = 0
For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12
For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0
therefore
the statement of the case 4) is false
therefore
the answer is
f(2) = 0 and g(–2) = 0-------> this statement is true