move at least one of the 9 guide points below to complete the graph of y = |x + 7| + 8. moving the red…
move at least one of the 9 guide points below to complete the graph of y = |x + 7| + 8. moving the red points changes the vertical stretch or compression. moving the blue point shifts the function left/right/up/down. click the buttons below to start over or reflect over the x - axis. reset reflect over x - axis
Answer
Explanation:
Step1: Identify vertex of absolute - value function
The general form of an absolute - value function is $y=a|x - h|+k$, and its vertex is at the point $(h,k)$. For the function $y = |x + 7|+8$, we have $h=-7$ and $k = 8$. So the vertex of the function is at the point $(-7,8)$.
Step2: Determine how to move points
We need to move the blue point to $(-7,8)$ to shift the function to its correct position. And we may need to adjust the red points to get the correct vertical stretch or compression (in this case, since there is no coefficient in front of the absolute - value part, the vertical stretch factor is 1).
Answer:
Move the blue point to the coordinates $(-7,8)$ and adjust the red points if necessary to maintain the correct shape (vertical stretch factor of 1).