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Two graphs are drawn that belong with the family of functions with the function notation f(x) = a + √x-1

a. Which value of a belongs to/gives you graph 1

b. Which translation do you have to apply to get graph 2 from graph 1

c. A graph from the family of graphs goes through the point (17, -8). Which translation do you have to apply to get this graph from graph 1

 Jun 9, 2019
edited by Guest  Jun 9, 2019
 #1
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f(x)  =   a +  √ (x-1 )

 

a.       This is the basic graph of √ (x-1)   shifted up 3 units.....so....a  = 3

 

b.        Graph 2  is Graph 1 shifted down 5 units

 

c.      We have that     

 

shift + [ 3 +√ (17 - 1)] =  - 8

 

shift + [ 3 + 4 ] = -8

 

shift + 7  = -8

 

shift  = -15

 

We need to  shift Graph 1 down 15 units to produce the point (17, -8)

 

 

cool cool cool

 Jun 9, 2019
 #2
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Thank you so much! A very clear answer 

Guest Jun 9, 2019

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