What is the equation of the quadratic graph with a focus of (-1,4) and a directrix of y=2? hint: y=a(x-h)^2+k, a=1/4p

y = 1/4(x + 1)^2 + 3.

Step-by-step explanation:

The general form is (x - h)^2 = 4p(y - k)   where the focus is (h, k+p) and the directrix is y = k-p

So we have  h = -1

k + p = 4

k - p = 2 Adding:

2k = 6 so k = 3 and p = 1.

Therefore:

(x  + 1)^2 = 4(y - 3)

4y = (x + 1)^2 + 12

y = 1/4(x + 1)^2 + 3.

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step-by-step explanation:

$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