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!