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A parabola can be drawn given a focus of (-5, -8)(−5,−8) and a directrix of y=-4y=−4. Write the equation of the parabola in any form.
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A parabola can be drawn given a focus of 5 858 and a directrix of y4y4 Write the equation of the parabola in any form screenshot below class=

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evgeniylevi

Answer:

[tex]y=-\frac{1}{8} x^2-\frac{5}{4} x-\frac{73}{8}.[/tex]

Step-by-step explanation:

1) according to the definition of parabola two distance are equal, then:

2) d1=y+4 and d2=sqrt[(x+5)²+(y+8)²]; then

3) sqrt[(x+5)²+(y+8)²]=|y+4|;

(x+5)²+(y+8)²=(y+4)²; ⇔ x²+10x+73=-8y or

y=-1/8 x² -5/4 x -73/8.

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