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Question:
The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below. G(x)=1/2f(x+2)
Answer:
Answer:
Step-by-step explanation:
Any problem of this kind should first be approached by solving the initial function.
This question is based on curve translation on x-axis. But, there can be questions asked on translation in both axes, rotation of curve about origin, or both combined.
Initial function f(x) is a straight line from picture.
Common equation of straight line is
m= slope of the line
c= y-intercept
Slope of the line:
Let those points on graph be A(3,0) and B(0,-6)
Therefore, slope of line AB, using formula is:
m=2
And c=(-6)
And equation of line AB is:
Now this line is translated backwards by 2 units, (x) becomes (x+2)
Let us consider a X, such that,
Now, there is another function such that,
; according to your question.
In the picture, they are asking for a function,
Then, ; according to the picture.
Here, I have attached a file showing all the graphs for clear understanding.
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