Answered

IDNLearn.com: Your trusted source for accurate and reliable answers. Ask any question and receive comprehensive, well-informed responses from our dedicated team of experts.

What is the equation of the parabola, in vertex form, with focus at (1,-4) and
directrix x= 3?

What Is The Equation Of The Parabola In Vertex Form With Focus At 14 And Directrix X 3 class=

Sagot :

Evgeniyleviidn

Answer:

D.

Step-by-step explanation:

1) according to the definition of parabola d(focus)=f(directrix),

2) then

[tex]d(focus)=\sqrt{(x-1)^2+(y+4)^2} \ and \ d(directrix)=|x-3|;[/tex]

[tex]\sqrt{(x-1)^2+(y+4)^2} =|x-3|;[/tex]

3) after evoluation the equation:

(y+4)²=-4x+8 or (y+4)²= -4(x-2);

4) correct answer is D.

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.