Question

Which of the following is the graph of y=- square root x+1

Answer 1

A

Explanation:

Answer 2

The graph in the attached figure

Explanation:

we have

`y=-√(x+1)`

Find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0 ----->
`y=-√(0+1)=-1`

The y-intercept is the point (0,-1)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0 ----->
`0=-√(x+1)` ----->
`x=-1`

The x-intercept is the point (-1,0)

Find the domain

we know that

The radicand must be positive

so

`x+1\geq0`

`x\geq-1`

All real numbers greater than or equal to -1

The range is all real numbers less than or equal to -1

using a graphing tool

see the attached figure