Question

I need to graph h(x)=4 |x+4| +3 using to dots on this graph I need to know the coordinates.of where to plot the dots

Answer 1

Given the function

`h(x)=4|x+4|+3`

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

`\begin{gathered} h(4)=4|-4+4|+3 \\ h(4)=3 \\ \rightarrow\rightarrow(-4,3) \end{gathered}`

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

`\begin{gathered} h(-3)=4|-3+4|+3_{} \\ h(0)=7 \\ \rightarrow\rightarrow\rightarrow(-3,7) \end{gathered}`

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