When f(x)=x^2 what is the translated expression to move it left 3 and up 5

Question

How to translate the line

Answer 1

Rewrite the function h(x)=f(x+3)+5

 

Hence, h(x)=(x+3)² + 5 This indicates the vertex occurs at (-3,5).

Answer 2

When move it to the left 3 units, we get

 

g(x) = (x + 3)²

 

 

Move the previous curve up 5 units,

 

g(x) = (x + 3)² + 5