Question

Consider the graph of the parent exponential function f and transformed function g.

To produce g, function f was reflected over the x-axis and [drop down menu]. Function g can be defined as [drop down menu].

Answer 1

Shifted up 5 units

g(x) = -f(x) + 5

Explanation:

To produce a g function, f was reflected over the x-axis and shifted up 5 units. Function g can be defined as g(x) = -f(x)+5

Context:

When we look at the graphs of the parent function f and the converted function g, we can see that after a reflection over the x-axis, the graph must be translated 5 units up to create g. Now A reflection of the function across the x-axis should be regarded negative, and moving 5 units up adds 5 to the function, thus g(x) = -f(x) + 5.