Question

score on last try: 0 of 10 pts. see details for more. > next question get a similar question you can retry this question below which blue function is the graph of the slopes of the red function?

Explanation:

Step1: Analyze the red - function's slope on the left - hand side

The red function on the left - hand side has a positive slope (it is increasing). So the slope function should have positive values on the left - hand side.

Step2: Analyze the red - function's slope at the vertex

At the vertex of the red function, the slope is 0. So the slope function should cross the x - axis at the x - value corresponding to the vertex of the red function.

Step3: Analyze the red - function's slope on the right - hand side

The red function on the right - hand side has a negative slope (it is decreasing). So the slope function should have negative values on the right - hand side.

Answer:

The function that has positive values on the left, crosses the x - axis at the vertex of the red function, and has negative values on the right is the correct one. Without seeing the exact details of the blue functions in options A - F, if we assume a typical linear - like behavior of the slope function for a simple piece - wise linear red function, we look for a linear function that goes from positive to negative values crossing the x - axis in between. If we had to make a general choice based on the above analysis, we would choose the function that matches these characteristics among the given options. But since no specific details about the options are given in text form, we can't give a specific letter answer. If you provide more details about the options (like descriptions of what each option looks like), we can give a more definite answer.