Answer:
b) g(x) is stretched horizontally and reflected over the x-axis.
Step-by-step explanation:
The given parent function is

The transformed function is

We want to see how the transformed graph compares with the parent graph.
The negation inside means all x-coordinates we're negated.
This means, there is a reflection in the y-axis.
The factor of 2 within the function means a horizontal stretch by a factor of 1/2.
The correct answer is B.
Rewrite in standard form and use the form to find the vertex.
(1, 5)
(x - 1)^2 + 5
F(x) = 2x + 1
To find the inverse of a function you just need to switch the x by y or vice-versa:
-> y = 2x + 1
-> x = 2y + 1
After that you isolate the y again:
-> 2y = x - 1
-> y = (x-1)/2
-> f^-1 (x) = (x-1)/2
Answer: