What is the function rule of g(x) ?

Question

What is the function rule of g(x) when it equals f(x) = x^2 shifted left 4, stretched vertically 3, and then shifted up 5?

Answer 1

y = 3(x+4)² + 5

 

Examine the squared term: it is zero when x=-4, instead of the usual vertex at (0,0) for y = x²