Transformations of Functions Given a parent function y = f(x), we can transform this function by applying parameters a, b,c and d to produce a new function g(x) = af(b(x – c)) + d. This new function will have the same basic shape of the original function but may be shifted, stretched/compressed, or reflected over a coordinate axis. For each transformation described below, write an inequality involving the appropriate parameter. The first one has been done for you. 1. _d >0__ translate d units up 2. translate . _units down 3. translate , units right translate , units left _vertical stretch by a factor of 5. 6. vertical compression by a factor of _ horizontal stretch by a factor of 7. 8. horizontal compression by a factor of . 9. reflection over the x-axis reflection over the y-axis 10. Which parameters affect the domatn of the original function y = f(x)? Which parameters affect the range of the original function y = f(x)? 4.

Q: Determine the domain of the function. f(x) = xl/4

A: fx=x14

Q: The graph of the function f(x) = x4 is shown in Figure . Each graph given is a transformation of the…

A: Part (a) - Given function f(x) = x4The graph g(x) shown to us is the inverted graph of…

Q: Analyze the graph of each function.

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Q: Determine whether the function is​ one-to-one. f (x)=(x-6)cube

A: To prove f(x)=x-63 is one-to-one.

Q: Find the domain of each function.

A: Given

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A: Given,        g(x)=x-1=1x

Q: Create a linear function and a square root function (both must include two terms). Find the…

A:

Q: From the red function as a base write the function of the transformed blue function in the form:…

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Q: Use translations to graph the given function. f (x) = |x + 1| %3D

A: Given that,  f(x) = x+1

Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

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Q: Determine whether the function is odd, even or neither. f(x)=xcosx+1

A: