Answer:
- g(x) = 2|x|
- g(x) = -2|x|
- g(x) = -2|x| -3
- g(x) = -2|x-1| -3
Step-by-step explanation:
1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...
g(x) = 2|x|
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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.
g(x) = -2|x|
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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.
g(x) = -2|x| -3
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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...
g(x) = -2|x -1| -3
Answer:
7, 3 and 0
Step-by-step explanation:
10, 3, 5, 7
Because the numbers are differ by prime numbers less than 10, i.e, the difference between the numbers are 7,5 and next will be 3.
8, 5, 4, 3.
The difference between the numbers are 3, 4 and similarly it will be differ by 5 which means next will be no. 3.
12, 6, 3, 0.
The numbers are differ by 6, 9 and next will be differ by 12 resulting the next no. 0.

Step-by-step explanation:

Don’t stress. try taking a nap. or watching a movie. Or listen to calming music.
Write them out as a fraction then reduce them. If theyre the same then its proportional.
25/45 can be cancelled down to 5/9
15/27 can be cancelled down to 3/9
So no theyre not.