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]

Answer Link

Otras preguntas

Could someone please explain to me clearly how to work this out using quadratics? Find the values of a, b, c, d and e that make this following equation true. 4
a rectangular area of land is being sold off in a smaller pieces. The total area of the land is 2(15th power) square miles. The pieces being sold are 8(3rd powe
What is the purpose of living?
Imperialism was motivated by the growth and demands of industry. True False
Liberal leaders wanted to change new deal programs by
Imperialism was motivated by the growth and demands of industry. True False
What was President Johnson's broad program of domestic policies called? New Frontier Great Society War on Poverty New Deal
why do we need history
What was a major change for Seminole Indians in the 1930s? They earned the right to vote. They began a separatist movement. They began to move onto federal Indi
How did some Puritans deal with the uncertainty of divine election? They created elaborate, ceremonial worship. They placed an emphasis on the conversion experi