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1. The graph of y = f(x) is a parabola whose vertex is at (1, -2). The graph of y = f(x - 3) is also a parabola. Where is the vertex of the graph of y = f(x-3)? Write your answer as an ordered pair.

 

2. The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).

 Mar 4, 2019
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1. The  "f( x - 3)"  shifts the the graph of f(x) to the right by 3 units

So...the vertex of f(x - 3)  is  ( 4, - 2)

 

2.  If the graph has an axis of symmetry of x = 5    and  (8, - 7) is on the graph.we added 3 to 5 to get (8,-7)...then....we must subtract 3 from 5 to get :

(5 - 3, -7) = (2, -7) is also on the graph

 

Note that the y coordinate is unaffected  !!!

 

cool cool cool

 Mar 4, 2019

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