(a) The graph ofy =f(x) is shown. Graph y = 2f (x). (b) The graph of…
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Question “(a) The graph ofy =f(x) is shown. Graph y = 2f (x). (b) The graph of…”
(a) The graph ofy =f(x) is shown. Graph y = 2f (x). (b) The graph of y = g (x) is shown. Graph y =g (2x) Part (a) Part (b) ? ? X
Answer
Vertically stretching the graph of 2f(x), you can get the graph of y=2f(x).
The coordinates for the points on graph y = f (x) are (0,-3), (0,-22) and (2,-44)
You can get the points that correspond to y = 2f(x), by multiplying the y coordinates of the points above by 2.
Therefore,
The coordinates for the points that correspond to y = 2f(x), (0,-6) or (2,-8) are given below.
The graph of y =2f(x), is shown below:
b) Horizontal compression of the graph of graph y = 2x can give you the graph of graph y = 2x by a factor 2.
The coordinates for the points on graph y = g (x) are (0 0), (2,-4) & (4,-2)
You can find the points that correspond to y = 2x by multiplying the x-coordinates above by 2.
Therefore,
The coordinates for the points that correspond to y = 2x are (0,0), (1.-4) and (2. -2)
The following graph shows y = 2x.
Conclusion
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