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Sauron [17]
3 years ago
12

Write an equation for the translation of the function. y = cos x; translated 6 units up

Mathematics
2 answers:
Yakvenalex [24]3 years ago
6 0
It's just y= cos(x)+6
nlexa [21]3 years ago
5 0

Answer:

y=cos(x)+6.

Step-by-step explanation:

We are asked to write an equation for the translation of the function y=cos(x) to 6 units upwards.

Let us recall transformation rules.

f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}

f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}

Since we need to shift our given function 6 units upwards, so we will add 6 to our given function outside the parenthesis as:

y=cos(x)+6

Therefore, our required equation would be y=cos(x)+6.

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