5x - 1 = 15x - 101
101 - 1 = 15x - 5x
100 = 10x
100/10 = x
x = 10
How this has been solved is by bringing the equations with (x) to one side and solving them and solving the other numbers on the other side..
(6+9i) is the answer I got.
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