Question

Graph the function below.Plot four points on the graph.My graph only exceeds to 13.

Answer 1

To answer this question, we need to see that we have here a square root function translated 6 units upward. As we know, the square root function is only defined for values of x greater or equal to zero. Then, we need to take care of this to graph the function.

We can use the following values of x to graph the function, x = 0, x = 1, x =4, and x = 9. Notice that we will use perfect squares like 4 and 9 to make easier to graph this function.

If we apply the function rule to these points, we will have the corresponding values for y:

`f(0)=\sqrt[]{0}+6\Rightarrow f(0)=6_{}`
`f(1)=\sqrt[]{1}+6\Rightarrow f(1)=1+6\Rightarrow f(1)=7`
`f(4)=\sqrt[]{4}+6\Rightarrow f(4)=2+6\Rightarrow f(4)=8`
`f(9)=\sqrt[]{9}+6\Rightarrow f(9)=3+6\Rightarrow f(9)=9`

Then, we have the following coordinates to graph the function: (0, 6), (1, 7),(4, 8), (9, 9). Then, we can graph the function as follows:

In summary, we have the points (0, 6), (1, 7), (4, 8), and (9, 9) to graph the function using four coordinates.