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Nina [5.8K]
1 year ago
9

Given the function f(x) in red, write the equation for the transformed function g(x)in green

Mathematics
1 answer:
STatiana [176]1 year ago
3 0
g(x)=(x-4)^3-5

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1. If a function f(x) is shifted to the left one unit, what function represents the transformation?
Vaselesa [24]
<span><u><em>The correct answers are: </em></u>
1) A;
2) A;
4) D 
3 cannot be done because the graph is not shown.

<u><em>Explanation:</em></u><span><u><em> </em></u>
1) Shifting a graph to the left, we would normally think of subtracting 1 from the function. However, horizontal translations are the opposite; left means adding 1 to x, while right means subtracting 1 from x.

2) A reflection in the x-axis means the y-coordinate will be negated (the opposite sign). This means that g(x)=-f(x)=-(x^2+5=-x^2-5.

4) To perform a vertical stretch of a function, we multiply by the factor; this gives us y=6x.</span></span>
3 0
3 years ago
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6 0
3 years ago
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(0,-10)

Step-by-step explanation:

not to sure if this is what your asking for, sorry

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