How exactly would I solve these problems?

Question

Write a function g(x)with the given transformations of f(x)=x to the 2 power.

A. Down 2
B. reflection about the x-axis

My teacher never taught me this, and my exam is within the next 2 weeks.

Answer 1

well, to move the graph down two just subtract 2 from every value of f(x) to get g(x)
g(x) = x^2 - 2

now if you want to reflect about the x axis, then you want every value of g(x) to be negative the value of f(x)
so write g(x) = -f(x) whatever f(x) is
so if f(x) = x^2 - 2 for example then
g(x) = -x^2 + 2

Answer 2

Thank you so much. :)