Answered

Discover how IDNLearn.com can help you find the answers you need quickly and easily. Ask anything and receive well-informed answers from our community of experienced professionals.

The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its equation? F(x) = _____ A. F(x) = (x - 2)2 B. F(x) = x2 + 2 C. F(x) = x2 - 2 D. F(x) = (x + 2)2

Sagot :

Facundo3141592idn

The transformed equation is:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

What is the equation?

We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.

Remember that for a random function f(x), a shift of 2 units to the left is written as:

h(x) = f(x + 2).

Then, in this case, we can write:

F(x) = G(x + 2)

Replacing G(x), we can get the transformed equation:

F(x) = G(x + 2) = (x + 2)^2

So we can se that the correct option is D.

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.