Given the function
[tex]h(x)=4|x+4|+3[/tex]
We will plot the function by methods of determining the coordinates. We will evaluate the given function at certain values of x.
The extremum can be found at a value where the absolute value term becomes zero. Based on the given function, the x-coordinate where the absolute value term becomes zero is equal to -4. Evaluate the function at this value of x, we have
[tex]\begin{gathered} h(4)=4|-4+4|+3 \\ h(4)=3 \\ \rightarrow\rightarrow(-4,3) \end{gathered}[/tex]
Next thing is to have a value of x and evaluate it at the positive value of the absolute value term. In this case, I will be using x = -3. We have
[tex]\begin{gathered} h(-3)=4|-3+4|+3_{} \\ h(0)=7 \\ \rightarrow\rightarrow\rightarrow(-3,7) \end{gathered}[/tex]
We now have two coordinates that will help us plot the function. If we map this on a cartesian coordinate, we have
Draw a line to connect the two dots to show the positive value of the absolute value function. We have
