Question

If y = 2x + 7 were changed to y=x+7, how would the graph of the new function compare with the original?

A. It would be shifted down.
B. It would be steeper.
C. It would change orientation and slant down.
D. It would be less steep.

Answer 1

The graph of the new function would be less steep compared to the original.

Step-by-step explanation:

The original function is y = 2x + 7 and the new function is y = x + 7.

When we compare the two functions, we can see that the only difference is in the slope of the line. The original function has a slope of 2, while the new function has a slope of 1. This means that the original line is steeper than the new line. Therefore, the correct answer is D. It would be less steep.