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Above is a portion of the graph of a function, :

If the graph of  is drawn on the same set of axes as the graph above, then the two graphs intersect at one point. What is that point?

 

I haave no idea whad do do

 Jul 20, 2022
 #1
avatar+124676 
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If the graph of _____ is drawn on the same set of axes as the graph above, then the two graphs intersect at one point. What is that point?

 

If the graph of   (what ) ???

 

 

cool cool cool

 Jul 20, 2022
 #2
avatar+91 
+1

sorry phill the latex didnt go through it meant to say

if the graph of y = h(x-3)

cosign  Jul 20, 2022
 #3
avatar+124676 
+1

OK....no prob.....this one is a little difficult to see,  at first

 

The graph of  h ( x - 3)  shifts this parabola to the RIGHT by 3 units

 

We need to find  the place on the parabola where its width =  3 units

 

Note that this appears to be along the line y = 3

 

The parabola  intersects this line  at  (-2, 3)  and  ( 1, 3)    (note that the width is 3 !!! )

 

So  point  (-2,3)  is shifted to  point (1,3)  by  h(x - 3)  and (1,3)  is the point of intersection of both graphs !!!

 

{Hope that makes sense !! }

 

cool cool cool

 Jul 20, 2022
edited by CPhill  Jul 20, 2022
 #4
avatar+91 
+1

this made a lot of sense thank you

!

cosign  Jul 20, 2022

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