A.S.A.P PLEASE HELP

1 answer:

4 0

To solve this problem yu must apply the proccedure shown below:

1. You have that the <span>focus of the parabola is located at (0,–2) and the directrix is represented by y=2. Therefore, you have:
</span>
√(x0-0)²+(y0-(-2))²=|y-2|

2. By simplifying and clearing x², you obtain:

(√x0²+(y0+2)²)²=(y0-2)²
x0²+(y0+2)²=(y0-2)²

{ Note: x0²=x and y0=y)

x²=-8y

The answer is: x²=-8y

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Put the values of x to W(x).

$W(x)=\dfrac{80(2x+15)}{x+6}\\\\\\x=0\to W(0)=\dfrac{80(2(0)+15)}{0+6}=\dfrac{80(0+15)}{6}=\dfrac{80(15)}{6}=\dfrac{1200}{6}=200\\\\x=1\to W(1)=\dfrac{80(2(1)+15)}{1+6}=\dfrac{80(2+15)}{7}=\dfrac{80(17)}{7}=\dfrac{1360}{7}=194\dfrac{2}{7}\\\\x=4\to W(4)=\dfrac{80(2(4)+15)}{4+6}=\dfrac{80(20+15)}{10}=8(35)=280\\\\x=12\to W(12)=\dfrac{80(2(12)+15)}{12+6}=\dfrac{80(24+15)}{18}=\dfrac{80(39)}{18}=\dfrac{3120}{18}=173\dfrac{1}{3}\\\\x=24\to W(24)=\dfrac{80(2(24)+15)}{24+6}=\dfrac{80(48+15)}{30}=\dfrac{80(63)}{30}=\dfrac{5040}{30}=168$