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Jennifer drew the graph of f(x) = 2x2 + 4x.



Matt drew the graph of f(x) = 2(x + 1)2 on the same coordinate plane.

Compare the graphs that Jennifer and Matt drew by completing the statements.


Jennifer’s graph is vertically shifted
from Matt’s graph.

Jennifer’s graph is horizontally shifted
from Matt’s graph.

Jennifer’s graph is
Matt’s graph.

Which graph has a vertex that is a maximum?

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sqdancefan

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Answer:

  (a)  Jennifer’s graph is vertically shifted from Matt’s graph.

  neither graph has a maximum

Step-by-step explanation:

Jennifer's equation can be put into vertex form as ...

  f(x) = 2(x^2 +2x +1) -2

  f(x) = 2(x +1)^2 -2 . . . . . . vertex at (-1, -2)

Compared to Matt's graph, Jennifer's will be shifted down 2 units.

__

Both graphs open upward, so the vertices are minimums. Neither graph has a vertex that is a maximum. (The vertex on Matt's graph is the maximum of the two vertices.)

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Answer:

Compare the graphs that Jennifer and Matt drew by completing the statements.

 

* )     Jennifer’s graph is vertically shifted  

2 units down

from Matt’s graph.

** )   Jennifer’s graph is horizontally shifted  

0 units left or right

 from Matt’s graph.

*** )   Jennifer’s graph is  

the same shape as

 Matt’s graph.

**** )   Which graph has a vertex that is a maximum?

Neither Jennifer’s nor Matt’s

Step-by-step explanation:

CORRECT on EDGE November 2021

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