Which pairs of points would result in a line with a rate of change of 2:1? Select all that apply.
1 answer:
Answer:
Options A, C, D are true.
Step-by-step explanation:
We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.
A. The points are (-4,-11) and (-2,-7).
Then the slope of the joining line is
B. The points are (5,6) and (-5,12).
Then the slope of the joining line is
C. The points are (0,-3) and (-4,-11).
Then the slope of the joining line is
D. The points are (0,-3) and (5,7).
Then the slope of the joining line is
Therefore, options A, C, D are true. (Answer)
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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
