How would you translate the graph of y=x^2 to produce the graph of y=-x^2-4?

Answer 1

shift it down by 4 units

y=x^2 has vertex or minimum point at (0,0)

y=x^2-4 has vertex or minimum point at (0,-4)

they are upward opening parabolas

1st equation has y and x intercepts at the origin (0,0)

2nd equation has y intercept of -4 or (0,-4) and x intercepts at (-2,0) and (2,0)

axis of symmetry is the same for both, x=0