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Greeley [361]
3 years ago
5

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

Mathematics
2 answers:
Inga [223]3 years ago
8 0
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
Y_Kistochka [10]3 years ago
6 0
If it’s horizontally translated, the x value/ input is altered, meaning that the value is added or subtracted from x. In this case, you move 4 units to the right, so you’d have (x-4)^2. Then vertical change is shown by changes to the y value, so it would be outside the parentheses. So you get +9 out of the parentheses.

g(x)=(x-4)^2+9
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Step-by-step explanation:

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Reika [66]

Answer:

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Step-by-step explanation:

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Montano1993 [528]

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Step-by-step explanation:

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3 years ago
94÷4≈
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Answer:

ok, te ayudaré

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I hope it serves you, give me a crown please

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egoroff_w [7]

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C

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2 years ago
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