Question

The graph of f(x) shown below has the same shape as the graph of g (x) = x^2 but it is shifted to the left 2 units. what is the equation?

Answer 1

Answer:

  C.  F(x) = (x+2)²

Step-by-step explanation:

A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...

  f(x) = g(x -(-2)) = g(x+2)

  f(x) = (x+2)²