214k views
3 votes
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)

User Kiersten
by
7.3k points

2 Answers

1 vote

Answer:

f(x) -2 is the correct answer.

Explanation:

Just took the test!

User Parimal Raj
by
7.7k points
3 votes

Answer:

Last option

−1 • f(x)

Explanation:

The function
f(x) = (0.5) ^ x passes through point (-1, 2) because:


f(-1) = (0.5) ^ {-1}= (1)/((0.5)) = 2

and also goes through the point (0, 1)

Because:


f(0) = (0.5)^0 = 1

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
f(x) = (0.5) ^ x reflected on the axis x. This means that if the point
(x_0, y_0) belongs to f(x), then the point
(x_0, -y_0) belongs to the transformed function

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


y = cf(x)

Where c is a negative number. In this case
c = -1

Then the transformation is:


y = -1*f(x)

and the transformed function is:


f (x) = - (0.5) ^ x

Observe the attached image.

What transformation has changed the parent function f(x) = (.5)x to its new appearance-example-1
User Nouf
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories