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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(2x). Find a and b.

Part (b): Find the graph of y = f(2x). 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(2x - 8). Find c and d.

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

 

Thank you so much! If you could solve this within the next hour you would be the best person ever!  :D

WhichWitchIsWhich  Nov 16, 2017
 #1
avatar+87301 
+3

Here's (a) and (c)

 

(a)   (-4, 4)   and  (4, -4)  are on f(x)

 

So....  (-2, 4)  and (2, -4)   are on f(2x)  ....so     a=  -2  and b = 2

 

 

(c)  To find c we need to solve  this

 

2c -  8  = -4     add 8 to both sides

2c  = 4

c  = 2

 

To find d we need to solve this

 

2c - 8  = 4  add 8 to both sides

2c = 12

c  = 6

 

 

cool cool cool

CPhill  Nov 16, 2017
 #2
avatar+7155 
+4

Here is the graph for  b .

 

 

Here is the graph for  d .

 

hectictar  Nov 17, 2017
edited by hectictar  Nov 17, 2017

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