Which function is represented by the graph? O f(x) = -2|x| + 1
○ f(x) = -1/2|x|+1
O f(x) = -2|x + 1|
O f(x) = -1/2|x+1|

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  (a)  f(x) = -2|x| + 1

Step-by-step explanation:

Adding a value to a function translates it vertically by that value.

Multiplying a function by a value scales it vertically by that factor. If the factor is negative, a reflection over the x-axis is also involved.

Here, the parent function y=|x| has been reflected over the x-axis, expanded vertically by a factor of 2, and translated upward by 1 unit. This combination of effects is produced by ...

  f(x) = -2|x| +1

You know the vertical scale factor is 2, because the slopes of the lines have a magnitude of 2. A 1-unit change horizontally gives a 2-unit change vertically.

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$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720