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kumpel [21]
3 years ago
11

Help pleaseeeeee!

Mathematics
2 answers:
pashok25 [27]3 years ago
7 0

Answer:

Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3.

Step-by-step explanation:

First we re write the equation by multiplying the number 3 in this way we will see much better the solution

g(x)=3[|x-1|+2]=3|x-1|+6

we will start from the inside to the outside

|x-1| this -1is grouped with the x and this means there is a horizontal shift of 1 unit to the right (because of the sign)

3|x-1| this 3 is multiplying the x which means the function will be stretching by a factor of 3 (g(x) will be 3 times bigger)

3|x-1|+6 this 6 is not goruped with x and moves the entire function 6 units upwards.

We can see it more clearly in the graph attached.

marin [14]3 years ago
4 0

Answer:

Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..

Step-by-step explanation:

Given function is:

3[|x-1|+2]

Can also be written as:

3|x-1|+6

As we can see that the -1 is grouped with x which means it is a horizontal shift of 1 unit to the right.

Now, 6 is added to the function and it is not grouped with x which means that there is a vertical shift of 6 units upward.

Lastly, 3 is multiplied with the term containing x which means that there is a vertical stretch of 3 units.

Hence, the correct option is:

Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..

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