Question

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

Answer 1

Explanation:

The function
`f(x)=x^2+4` is a positive upwards opening parabola with the vertex at (0, 4), whereas

the function
`g(y)=y^2+4` is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.