the graph of the function y=x^2 is translated so that the vertex is now at (-4,0). which equation now represents the new funtion?

Question

y=(x+4)^2

y=(x-4)^2

y=x^2+4

y=x^2-4

Answer 1

y=(x+4)^2

y=(x-4)^2

y=x^2+4

y=x^2-4

If you can't determine this mentally, graph them and recognize the translation is left 4, so y=(x+4)^2

Personally, I like to graph things like this on my TI calculator to get a better understand of translations.