Question

Sketch the graph of the function y = √(x+3)
`y = √(x + 3)`

Answer 1

Step-by-step explanation:

To sketch the graph, we need to find the coordinates (x, y) of points that belong to the graph.

So, we will give values to x and then calculated y.

If x = -3, then:

`\begin{gathered} y=\sqrt[]{x+3} \\ y=\sqrt[]{-3+3} \\ y=\sqrt[]{0}=0 \end{gathered}`

If x = 1, then:

`\begin{gathered} y=\sqrt[]{1+3} \\ y=\sqrt[]{4} \\ y=2 \end{gathered}`

If x = 6, then:

`\begin{gathered} y=\sqrt[]{6+3} \\ y=\sqrt[]{9} \\ y=3 \end{gathered}`

Answer:

Therefore, we have the points (-3, 0), (1, 2), and (6, 3) to sketch the graph as: