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?

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 

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)