Given f(x) below:

Part 5
If f(x) is reflected over the x-axis to get g(x), then. the transformation rule is given as:

Therefore, the rule for g(x) is:

To answer the other questions, we use the graph below:
The green graph is f(x) while the green graph is g(x).
Part 6
The x-intercepts are the points where the functions intercept the x-axis.
• The number of x-intercepts in f(x) = 4
,
• The number of x-intercepts in g(x) = 4
Part 7
The y-intercepts are the points where the functions intercept the y-axis.
• The number of y-intercepts in f(x) = 1
,
• The number of y-intercepts in g(x) = 1
Part 8
The local maxima are the points where the function has a maximum value.
• The number of local maximum in f(x) = 1
,
• The number of local maximum in g(x) = 2
Part 9
The local minimums are the points where the function has a minimum value.
• The number of local minimum in f(x) = 2
,
• The number of local minimum in g(x) = 1