the graph of g(x), shown below in pink, has the same shape as the graph of f(x)=x^2, shown in gray. which of the following is the equation for g(x)

Answer:
B
Step-by-step explanation:
The graph of g(x) has its vertex at (1, - 3)
The equation of a parabola in vertex firm is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (1, - 3), thus
g(x) = (x - 1)² - 3 → B