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SashulF [63]
2 years ago
6

Which is a translation of f(x)=|x|. Write the function rule for g(x)

Mathematics
1 answer:
eduard2 years ago
6 0

Answer:

g(x) = | x + 7 |

Step-by-step explanation:

The absolute value graph f(x)=|x| is a V-shaped graph with the vertex (tip, point) at (0,0). The graph shown has been translated (slid, shifted) 7 units to the left. Left or right shifts, horizontal shifts, are caused by an adjustment to the x. Horizontal shifts are also maybe the opposite of your intuition. Left shifts, you ADD to x. Right shifts, you subtract from x.

This is a left shift, so adjust the x by inserting a +7

f(x) = |x|

g(x) = | x + 7 |

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Sabrehalrubeai,

In order to find the correct answer to this question we need to go over all of the options to see which one is the correct answer.

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Hope this helps!

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3 years ago
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Suppose f is a function with exponential growth and f(0)=1. Explain why f can be represented by a formula of the form
galben [10]

We are supposed to explain why the given function can be expressed in form f(x)=b^{x}, when f(0)=1.

Since the given function is an exponential function we can express it as  f(x)=a(b)^{x}.

Now let us substitute x=0 in the given function,  

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Let us substitute x=0 in our function.    

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