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3. Suppose the graph of f  is given. Describe how the graph of each function can be obtained from the graph of f. graphing is not necessary.    

 

3a. y = f(x) + 4

 

3b.  y = 2f(x - 2) + 2

 Mar 25, 2019
 #1
avatar+30 
+1

3a. Do you know slope-intercept form? It is the form of a linear equation y=mx+ b. The b is a constant, which is also the y-intercept. So, can you take it from here?

 

3b. Think of a vertex form equation: y= a(x-h)^2 + k. k determines the y-intercept, while h determines the horizontal shift. I believe you should be able to take it from here.

 Mar 25, 2019
 #2
avatar+4779 
+2

I can't really agree with the answer given.  We have no idea what the form of f(x) is so trying to cast it as linear or quadratic is confusing.

 

3a) All we have to do here is take the graph of f(x) and shift it 4 units up the y axis.

 

3b) Here we shift f(x) 2 units to the right along the x-axis, and then 2 units up the y axis

 Mar 25, 2019

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