Question

Graph the function $y=x^2+4$ by making table of values.

Short answer

The graph of the function $y=x^2+4$ is shown below.

Step-by-step solution

Step 1. Write down the given information.

The given function is $y=x^2+4$.

Step 2. Construct the table of values.

Construct the table of values for different $x\text{and}y$ for the function $y=x^2+4$.

x	y
0	4
-1	5
1	5
-2	8
2	8

Step 3. Sketch the graph of the function.

The graph of the function $y=x^2+4$ can be constructed by plotting the ordered pair of $\left(x,y\right)$ from the table.

Step 4. Interpretation the graph of the function.

From the graph it can be interpreted that the graph does not cut x-axis at any point. Hence it will have no real solutions.