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The graph of y = f(x) is shown below. Assume the domain of f is [-4,4] and that the vertical spacing of grid lines is the same as the horizontal spacing of grid lines.

 

 

Part (a): The points (a,4) and (b,-4) are on the graph of y = f\left( 2x \right). Find a and b.

Part (b): Find the graph of y = f\left( 2x \right). Verify that your points from part (a) are on the graph.

Part (c): The points (c,4) and (d,-4) are on the graph of y = f\left( 2x - 8 \right). Find c and d.

Part (d): Find the graph of y = f\left( 2x - 8 \right). Be sure to verify that your points from part (c) are on the graph both algebraically and geometrically. 

 

Good luck and THANK YOU!

 Aug 22, 2020
 #1
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(a) See the graph below.

 

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

 

(c) We stretch the graph horiztonally by a factor of 3, then stretch the graph vertically by a factor of 1/2, then shift down 3 units.

 

 Feb 18, 2021

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