Answer:
[tex]g(x)=5(x+2)^2+1[/tex]
Step-by-step explanation:
The given function is [tex]f(x)=5(x+2)^2-3[/tex].
Let the new function be g(x).
Then g(x) is obtained by shifting f(x) up by 4 units.
This implies that: [tex]g(x)=f(x)+4[/tex]
[tex]g(x)=5(x+2)^2-3+4[/tex]
[tex]g(x)=5(x+2)^2+1[/tex]
Hence the new function is [tex]g(x)=5(x+2)^2+1[/tex]
