The graph of Fx shown below in pink has the same shape as th

The graph of F(x), shown below in pink, has the same shape as the graph of G(x) = x^2, shown in gray. Which of the following is the equation for F(x)?

Solution

G(x) = x^2

From the figure we can see tht for F(X) the vertex has shifted to ( 1, -2)

So, transformations applied :

a) g(x) shifted to left by 1 unit

b) Vertically shifted down by 2 unit

So, F(X) = (x-1)^2 -2

Option A