Describe the transformation necessary to transform the graph of f(x) into that of g(x)

Question

f(x) = x^2

g(x) = -(x+1)^2

Answer 1

shift left by 1

reflect over the x axis

to go from f(x) to g(x)

from x^2 to -(x+1)^2

f(x) is an upward opening parabola with vertex at the origin

g(x) is a downward opening parabola with vertex = (-1,0)