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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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Which Pairs are additive inverses?<br> a. 6,-(-6)<br> b. -7,7<br> c.-7,-7<br> d.7,7<br> e.6,-6
xz_007 [3.2K]

I was never sure of what the "additive inverse" is. 
So, just now, just for you, I went and looked it up.

The additive inverse of any number ' A ' is the number
that you need to ADD to A to get zero.  That's all !

So now, let's check out the choices:

a), 6, -(-6)

That second number, -(-6), is the same as +6 .
So the two numbers are the same.
Do you get zero when you add them up ?  No.

b). -7, 7
What do you get when you add -7 and 7 ?
You get zero.
So these ARE additive inverses.

c). -7, -7
What do you get when you add -7 to -7 ?
You get -14 .  That's not zero, so these
are NOT additive inverses.

d).  7, 7
What do you get when you add 7 to 7 ?
You get 14.  That's NOT zero, so these
are NOT additive inverses.

e).  6, -6
What do you get when you add 6 to -6 ?
You get zero.
So these ARE additive inverses.

What do we end up with from the list of choices:

a).,  c).,  and d). are NOT additive inverses.

b). and e). ARE additive inverses.

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