Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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 :

evgeniylevi

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.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.