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kodGreya [7K]
3 years ago
14

Which answer describes the transformation of f(x)=x2−1 to g(x)=(x−1)2−1 ?

Mathematics
2 answers:
tester [92]3 years ago
6 0

Answer:

The correct answer is a horizontal translation 1 unit to the right

Step-by-step explanation:

artcher [175]3 years ago
4 0
A vertical translation 1 unit down since for example x is 1, if u plug it in both equations it is f(1)=1*2-1 which equals f(1)=1 and the point is (1,1) for the other one, g(1)=(1-1)2-1 it equals g(1)=-1
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Nimfa-mama [501]

Answer:   \bold{d)\quad f^{-1}(x)=\dfrac{e^x}{5}}

<u>Step-by-step explanation:</u>

To find the inverse, swap the x's and y's and solve for y. <em>Note: f(x) is y</em>

<em>y = ln(5x)\\\\\text{Swap the x's and y's:}\\x=ln(5y)\\\\\text{Apply e to both sides:}\\e^x=e^{ln(5y)}\\\\e^{ln}\ \text{cancels out:}\\e^x=5y\\\\\text{Divide both sides by 5:}\\\dfrac{e^x}{5}=y\\\\\large \boxed{f^{-1}(x)=\dfrac{e^x}{5}}</em>

8 0
3 years ago
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dalvyx [7]

Answer:

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7 0
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attashe74 [19]

Answer:

12

Step-by-step explanation:

The range is the difference from the greatest data point and the least data point. By looking at the box plot, the lowest value would be 0 while the highest would be 12. You use the definition of range to find it:

12 - 0 = 12

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liraira [26]

Answer:

A

Step-by-step explanation:

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Step-by-step explanation:

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