Answer: The required co-ordinates of the midpoint are (-3, -1).
Step-by-step explanation: Given that the endpoints of the line segment LM are L(-1,1) and M(-5,-3).
We are to find the co-ordinates of the midpoint of segment LM.
We know that,
the co-ordinates of the midpoint of a line segment with and points (a, b) and (c, d) are given by
Therefore, the co-ordinates of the midpoint of segment LM are
Thus, the required co-ordinates of the midpoint are (-3, -1).
Answer:
We can define a horizontal dilation/contraction of scale factor A, as:
g(x) = f(x*A)
if A > 1, this will be a contraction (it will be steeper)
if 0 < A < 1, this will be a dilation. (it will be less steep)
Then if we have:
g(x) = f(6*x) we have a contraction of scale factor 6, this means that the graph of the parent function will be contracted.
Below, you can see how the graphs change, where:
Blue is f(x) =x
green is g(x) = f(6*x) = 6*x
