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
+128474 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)
