The constant terms only translate the function upward or donward.
Here the focus is in the coefficient that multiplies the term x^2.
The effect is to stretch the graph vertically.
In y=x^2, when x = 1 y =1 and when x=2 y = 4
In y=(4x)^2 , when x = 1 y = 16 and when x =2 y=16
Then the factor of stretching vertically is 16.
Also you can see the transformation from the point of view of the horizontal axis.
For the function y =x^2, when y is 16 x = 4,
For the function y = (4x)^2, when y is 16 x = 1,
For the funcion y = x^2, when y = 64 x = 8
For the function y =(4x)^2, when y = 64 x =2
Then x is multiplied by a factor of 1/4, which means that the answer is "
It shrinks the graph horizontally to 1/4 the original width"
That is why the resu