Question

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

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=-\sqrt{x+1}$

Find the intercepts

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

so

For x=0 -----> $y=-\sqrt{0+1}=-1$

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 -----> $0=-\sqrt{x+1}$ ----->$x=-1$

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

Answer 2

Answer:

C: third graph  picture is attached.

Step-by-step explanation: