Respuesta :

Answer:

[tex]g(x)=x^2+4[/tex]

Step-by-step explanation:

Hi there!

Given:

[tex]f(x)=x^2+4[/tex]

Let g be a function whose graph is a reflection in the y-axis of the graph of f.

What we need to know:

To reflect a function f in the y-axis, we would need to multiply x by -1:

[tex]g(x)=f(-x)[/tex]

Apply and solve:

[tex]g(x)=(-x)^2+4\\g(x)=x^2+4[/tex]

I hope this helps!