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The graph of \(y = f(x)\)  is shown below.



For each point \((a,b)\) that is on the graph of \(y = f(x)\)  the point  is plotted \(\left( 3a - 1, \frac{b}{2} \right)\), forming the graph of another function \(g(x)\)  As an example, the point \((0,2)\)  lies on the graph of \(y = f(x)\)  so the point \((3 \cdot 0 - 1, 2/2) = (-1,1)\)lies on the graph of 
\(y = g(x)\)

 

(a) Plot the graph of y = g(x) Include the diagram as part of your solution.

(b) Express g(c)  in terms of  f(x)

 

(c) Describe the transformations that can be applied to the graph of  to obtain the graph of  For example, one transformation could be to stretch the graph vertically by a factor of 

 Jul 14, 2022
 #1
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(a) See the graph below.

 

(b) g(x) = 1/3*f(2x + 2).

 

(c) We stretch the graph horiztonally by a factor of 2, then stretch the graph vertically by a factor of 3, then shift down 2 units.

 

 Jul 14, 2022
 #2
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Can I have a better explanation

 Jul 14, 2022
 #3
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That is so unhelpful

 Jul 14, 2022

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