Question

the graph of $y = \sqrt{x}$ is shown on the grid below.
graph of y = sqrt(x) with x-axis from -4 to 4 and y-axis from -4 to 4
which of the following is the graph of $y = \sqrt{x + 1}$?
choose 1 answer:
a graph a
b graph b
c graph c
d graph d

Explanation:

Step1: Find domain of \(y=\sqrt{x+1}\)

Set \(x+1\geq0\), so \(x\geq-1\).

Step2: Compare with original graph

Original \(y=\sqrt{x}\) starts at \(x=0\); new graph starts at \(x=-1\), matching option B.

Answer:

B. (The graph of option B)