What transformation has changed the parent function f(x) = (.5)x to its new appearance shown in the graph below?

exponential graph passing through point negative 1, negative 2 and point 0, negative 1.

f(x) − 2
2 • f(x)
f(x) + 1
−1 • f(x)

Last option

−1 • f(x)

Step-by-step explanation:

The function passes through point (-1, 2) because:

and also goes through the point (0, 1)

Because:

Then, if the transformed function passes through the point (0, -1) and passes through the point (-1, -2) then this means that the graph of reflected on the axis x. This means that if the point belongs to f(x), then the point belongs to the transformed function

The transformation that reflects the graph of a function on the x-axis is.

Where c is a negative number. In this case

Then the transformation is:

and the transformed function is:

1,918

step-by-step explanation: