Function g can be thought of as translated (shifted) version of f(x)=x^2

f(x)=x^2  represents a parabola with vertex at (0, 0), that opens up.

If we translate this graph h units to the right, then g(x) will be:

g(x) = (x - h)^2.

If we translate the graph of  f(x)=x^2 k units up, then g(x) will be:

f(x)=x^2 + k

Step-by-step explanation:

x intercept = (-1,0)   (4,0)