Two quadratic functions are represented below.Which sentence correctly compares the two functions?A. The axis of symmetry of the graph of g(x) is to the right of the axis of symmetry of the graph of f(x) because f is symmetric about x = 0, g is symmetric about x = -3, and 0 > -3.B. The value of g(x) is greater than that of f(x) at x = -2 because g(-2) = 0, f(-2) = -1, and 0 > -1.C. The minimum value of f(x) is greater than the maximum value of g(x) because f(0) > g(-3).D. The axis of symmetry of the graph of g(x) is to the left of the axis of symmetry of the graph of f(x) because g is symmetric about x = 1, f is symmetric about x = 3, and 1 < 3.
Accepted Solution
A:
Answer:Option dStep-by-step explanation:The two quadratic functions are[tex]i)f(x) =3+x^2\[/tex] and g(x) is in the tableBoth have axis of symmetry as x=0 and x=-3 respectivelyg(-2) = 0cbut f(-2) = 4Hence g(-2) cannot be greater than f(-2)Vertex of f(x)=(0,0) while that of g(x) = (0,3)g(-3)=1 and f(0)=0 hence option c is not trueAxis of symmetry of g(x) is x=-3 which lies to the left of the axis of symmetry of f(x) i.e. x=-3 lies to the left of x=0Hence option d is true