When the function f(x)= x 2 is multiplied by the value a, where a>1, the graph of the new function, g(x)=ax 2?

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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)=ax^2?

Guest Apr 5, 2017

asinus · Answer 1 · 2017-04-05T12:43:49

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

hectictar · Answer 2 · 2017-04-05T12:44:38

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:

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