Question

1 select the correct answer from each drop - down menu. 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 shifted up 3 units. function g can be defined as

Explanation:

Step1: Recall function - transformation rules

If the parent - function is \(y = f(x)\), reflecting it over the \(x\) - axis gives \(y=-f(x)\), and shifting it up \(k\) units gives \(y=-f(x)+k\).

Step2: Analyze the graph

The parent exponential function \(f(x)\) is reflected over the \(x\) - axis and shifted up 3 units. If the parent function is \(y = f(x)\), the transformed function \(g(x)=-f(x)+3\).

Answer:

The first drop - down menu: shifted up 3 units; The second drop - down menu: \(g(x)=-f(x)+3\) (assuming the options in the second drop - down menu are related to the form of the function \(g(x)\) based on the transformation of \(f(x)\))