To find the graph that represents an absolute value function with a coefficient of least value, we need to understand the following:
An absolute value function with a coefficient of 1 takes the form:
![y\text =](https://img.qammunity.org/2023/formulas/mathematics/high-school/qkqtvuhndzoabm2s84crvo5vghjt0jegkg.png)
The graph of this function is shown below:
If the function is reflected across the x-axis, it becomes :
![y\textx](https://img.qammunity.org/2023/formulas/mathematics/high-school/sufujys82rxx9il1tlw5th1ija4ixdm4ae.png)
Its graph is shown below:
For any absolute value function:
![y\textx](https://img.qammunity.org/2023/formulas/mathematics/high-school/leqhf9u3a5c5p3yt7oh40r1ppmn6y836ly.png)
If a > 1 , the function is stretched,
if a < 1 and a >0, the function is dilated
Using the information provided above:
The coefficient with the least value is D
The coefficient closest to zero is C