the answer is D it stretches the graph by a factor of 4. this is due to multiply by 1/4 when plugging in an x value. ie:
1/4(1)^2= 1/4
1/4(2)^2 = 1
now y=x^2
(1)^2=1
(2)^2=4
so the y value goes up faster which makes a steeper slope aka less wide
when y=x^2
If y=1/4x^2 then the y values go up less than just x^2 by factor of 1/4 making the slope less steep and opening off parabola to be wider.
try graphing y=x^2 and y=1/4x^2 on your graphing calculator and see the difference I am talking about,
Hope this helps. Any questions please ask! Thank you!