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When the function f(x)= x2 is multiplied by the value a, where a>1, the graph of the new function, g(x)=ax2?

Guest Apr 5, 2017
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 #1
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When the function f(x)= x² is multiplied by the value a, where a>1, the graph of the new function, g(x)=ax² ?

 

Yes  smiley

asinus  Apr 5, 2017
 #2
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+3

The a will affect how fast the slope increases or decreases.

 

Since a > 1, g(x) will still be positive, and it will increase faster...the parabola will get "steeper".

 

Here is a good tool to show what the a does:

http://www.mathopenref.com/quadvertexexplorer.html

(You can just zero out the h and k first)

hectictar  Apr 5, 2017

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