Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

If f(x) = x^2 and g(x) = 1/2 f(x + 3) + 6 Describe the transformation(s)​

Sagot :

facundo3141592

Answer:

First, let's define some transformations:

Horizontal translation:

For a function f(x) a horizontal translation of N is written as

g(x) = f(x - N)

If N is positive we have a translation to the right

if N is negative we have a translation to the left.

Vertical translation:

For a function f(x) a vertical translation of N is written as

g(x) = f(x) + N

If N is positive we have a translation up

if N is negative we have a translation down

Vertical dilation.

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x)

Now we can see that in our problem we have:

g(x) = (1/2)*f(x + 3) + 6

Then if we start wit f(x) we have:

first we have a dilation of scale factor k = 1/2

g(x) = (1/2)*f(x)

then we have a translation of 6 units up

g(x) = (1/2)*f(x) + 6

then a translation of 3 units to the left

g(x) = (1/2)*f(x - 3) + 6

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.