Question

How would you describe the difference between the graphs of f(x)=x^2+4 and g(y)=y^2+4 ?


A. g(y) is a reflection of f(x) over the y-axis.

B. g(y) is a reflection of f(x) over the line y = x.

C. g(y) is a reflection of f(x) over the x-axis.

D. g(y) is a reflection of f(x) over the line y = 1.

Can someone please help?

Answer 1

@taiqraees can you help me??

Answer 2

@hartnn can you help?

Answer 3

@iGreen help

Answer 4

\[\large\rm y=x^2+4\]Remember the first step in finding an inverse function?
You switch the x's and y's,\[\large\rm x=y^2+4\]

So if y=f(x) and x=g(y) then we can see that these are inverses of one another!
Inverses are reflections of one another across the y=x line.