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

A. g(x) is a reflection of f(x) over the line y = -1.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = x.

Any help would be great! Thanks!

Question

How would you describe the difference between the graphs of f(x) = 2x^2 and g(x) = -2x^2?

A. g(x) is a reflection of f(x) over the line y = -1.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = x.

Any help would be great! Thanks!

xapproachesinfinity · Answer

B.  G(x)  is a reflection of f(x)  over the x axis

anonymous · Answer

Sweet. That's why I suspected, but I'm still unclear as to how to differentiate which axis the function is a reflection of.

xapproachesinfinity · Answer

G(x) =-F(x)  so reflection over x axis

xapproachesinfinity · Answer

G(x) =F-x)  a reflection over y axis.  Check your textbook for further information about this