Number Greater Than 1 In Front of x^2

What happens to a parabola when the number in front of x^2 is greater than 1? Does the parabola shape shrink? Does the parabola shape expand?

For example:

Graph y = 4x^2.

 

f(x)=ax^2

The magnitude of a indicates the stretch of the graph.

If |a|>1, the point associated with a particular x-value shifts farther from the x–axis, so the graph appears to become narrower, and there is a vertical stretch.

But if |a|<1, the point associated with a particular x-value shifts closer to the x–axis, so the graph appears to become wider, but in fact there is a vertical compression.

 

So, numbers greater than 1 in front of x^2 for
y = x^2 stretch the graph.