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

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Step-by-step explanation:

We are asked to write an equation for the translation of the function to 6 units upwards.

Let us recall transformation rules.

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

Therefore, our required equation would be .

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.