Answer:
The correct graph of the function is second graph.
Step-by-step explanation:
The given function is
[tex]y=-4\sqrt{x}[/tex]
This function is defined for all positive value of x including 0.
The value of radical expression √x is always positive. The given function is [tex]y=-4\sqrt{x}[/tex], therefore it is always negative.
At x=0,
[tex]y=-4\sqrt{0}=0[/tex]
At x=1,
[tex]y=-4\sqrt{1}=-4(1)=-4[/tex]
At x=4,
[tex]y=-4\sqrt{4}=-4(2)=-8[/tex]
It means the graph of the given function passing through the points (0,0), (1,-4) and (4,-8).
The second graph passing through these points. Therefore the correct graph of the function is second graph.
