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The function g(x) =x^(2)+3. The function f(x)=g(x+2).

The function shifted horizontally?
2 units left of g(x)
2 units right of g(x)
The function is not shifted horizontally from g(x)

The function shifted vertically?
2 units up from g(x)
2 units down from g(x)
The function is not shifted vertically from g(x)

Respuesta :

remotecontrolbrain

Answer:

Function is shifted horizontally, 2 units left of g(x). There is no vertical shift.

Step-by-step explanation:

Adding a real number s to the argument of a function will have an effect of shifting the graph of the function horizontally by s units. If s>0 the shift is to the left, for s<0 the shift is to the right. See attached plot of the two functions  of g(x) and g(x+2), if you are curious enough.  

Ver imagen remotecontrolbrain

The graph of f(x) = g(x+2) will shift 2 units to the left of g(x).

What is a function?

A function is a relation in which each value from the set of ordered pair's first components is associated with exactly one value from the set of ordered pair's second components.

The graph of any function will have a change in the y - direction when the overall value of a functions is changed.

For example:

 f(x) = x^3

 f(x) = x^3 + 2 (This graph will shift 2 units upward in the y - axis)

The graph of any function will have a change in the x-direction when the x value is altered with.

Here g(x) = x^2 + 3

        g(x+2) = (x+2)^2 + 3( The graph will shift 2 units to the left)

Hence the graph of f(x) = g(x+2) will shift 2 units to the left.

Learn more about functions on:

https://brainly.com/question/11624077

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Ver imagen indritachandra1999
Ver imagen indritachandra1999

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