Question

Which of the following is the graph of y=-4 square root x

Answer 1

The correct graph for this equation is the bottom graph.

Answer 2

The correct graph of the function is second graph.

Explanation:

The given function is

`y=-4√(x)`

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
`y=-4√(x)`, therefore it is always negative.

At x=0,

`y=-4√(0)=0`

At x=1,

`y=-4√(1)=-4(1)=-4`

At x=4,

`y=-4√(4)=-4(2)=-8`

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.