t9d77qkp7v t9d77qkp7v
  • 21-07-2022
  • Mathematics
contestada

Write the equation of a parabola whose directrix is

y

=

−

1.5

y

=

-

1.5

and has a focus at

(

−

4

,

−

2.5

)

(

-

4

,

-

2.5

)

.

Write the equation of a parabola whose directrix is y15y15 and has a focus at 425425 class=

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 21-07-2022

Answer:

y=0.5x²-4x-10.

Step-by-step explanation:

1) according to the definition of parabola:

d1=d2, then

[tex]2) \ |y+1.5|=\sqrt{(x+4)^2+(y+2.5)^2} ;[/tex]

3) after evolution:

-(2y+4)=(x+4)²; ⇔

[tex]y=-\frac{1}{2}x^2-4x-10.[/tex]

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