Answer:
D. [tex]f(x)=4x^{2}+1[/tex]
Step-by-step explanation:
There is a translation 1 point up along the y axis and a compression of 4.
Moving a function up (let's use h for the amount of points up) would change the function as so:
[tex]f(x)=x^{2} +h[/tex]
Meanwhile, the compression would modify x in this case. You can eliminate any answers (A. and B.) that have no modification to x, and eliminate C., as a fraction modification would actually widen the graph instead of compress it.
Hope this helps! :]
