Answer:
Graphing the points we have;
Above is the graph of the given equation showing the derived points.
Step-by-step explanation:
Given the equation;
![y=|2x|+3](https://img.qammunity.org/2023/formulas/mathematics/college/mavl5q37qvq98vnkifxoenqpqh9igvjp5q.png)
To plot the graph we need to calculate the corresponding values of x and y at each point.
Let us calculate the values of y for x = -4,-2,0,2, and 4;
![\begin{gathered} y=|2x|+3 \\ at\text{ x=-4;} \\ y=|2*-4|+3 \\ y=8+3 \\ y=11 \\ (-4,11) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/oc3sae8y7hdi6n1iiez5fz2p32pwqgu4zq.png)
![\begin{gathered} at\text{ x=-2} \\ y=|2*-2|+3 \\ y=4+3 \\ y=7 \\ (-2,7) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/i18wdb3fi0vjm3v1yixt2oy6f2akahzdyj.png)
![\begin{gathered} at\text{ x=0;} \\ y=|2*0|+3 \\ y=3 \\ (0,3) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2iw84h95134x76z1afg1b671343tahp1ag.png)
![\begin{gathered} at\text{ x=2;} \\ y=|2*2|+3 \\ y=4+3 \\ y=7 \\ (2,7) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/44z6j1kydi33k6uhqjpbyglwvl4t2im8zo.png)
![\begin{gathered} at\text{ x=4;} \\ y=|2*4|+3 \\ y=8+3 \\ y=11 \\ (4,11) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/h3ut9rhzrj719uvak32yaol55p2j3n4sdx.png)
Therefore, Graphing the points we have;
Above is the graph of the given equation showing the derived points.