determine the equation of g(x) that results from translating the function f(x)=x^2 +3 upward 11 units

Question

a)g(x) = (x+14)^2

b)g(x) = (x+11)^2 +3

c)g(x) = x^2-8

d)g(x) = x^2+14

Answer 1

Translating a function upward is the result of adding a positive value to it.

 

So if f(x) = x² + 3, then translating it upward by 11 units means adding 11.

 

So g(x) = x² + 3 + 11 = x² + 14

 

So the answer is d