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2 votes
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 y = − 1.5 y = - 1.5 and has a-example-1
User EderBaum
by
8.8k points

1 Answer

4 votes

Answer:

y=0.5x²-4x-10.

Explanation:

1) according to the definition of parabola:

d1=d2, then


2) \ |y+1.5|=√((x+4)^2+(y+2.5)^2) ;

3) after evolution:

-(2y+4)=(x+4)²; ⇔


y=-(1)/(2)x^2-4x-10.

User M Tariq Aziz
by
8.6k points

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