Answered

IDNLearn.com is your reliable source for expert answers and community insights. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.

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.
(screenshot below)

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=

Sagot :

Evgeniyleviidn

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.

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.