The function f(x)=x^2 -6x+3 is transformed such that g(x)=f(x-2). Find the vertex of g(x).

(5,6)

(5,-8)

(1,-6)

(3,-8)

Where h,k represent the vertex and we got:

(5,6)

Step-by-step explanation:

We have this original function given :

And we want to find the vertex for this new function and we have:

And solving the square we got:

And adding similar terms we got:

Now we can complete the square like this:

The general equation is given by:

Where h,k represent the vertex and we got:

(5,6)

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.