Answer:
D
Step-by-step explanation:
Option 4.
The vertex form of a parabola is
where, a is a constant (h,k) is the vertex.
The given function is
The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in the equation.
g(x) is passed through (3, 6).
Divide both sides by 4.
Substitute a=1 in equation (2).
The function g(x) is g(x) =(x-2)2+5) .
Therefore, the correct option is 4.
hope this helps
