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?}

Guest Apr 5, 2017

#1**+2 **

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

asinus
Apr 5, 2017

#2**+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