How is the graph of y = –4x2 – 5 different from the graph of y = –4x2?
a
It is shifted 5 unit(s) left.
b
It is shifted 5 unit(s) up.
c
It is shifted 5 unit(s) right.
d
It is shifted 5 unit(s) down.
The correct answer is d. It is shifted 5 unit(s) down.
The graph of y = –4x2 is the standard downward facing parabola.
By adding the constant term -5 to the equation, y = –4x2 – 5, the entire graph is shifted 5 units down. This means that every point on the graph is lowered by 5 units compared to the original graph.