2 years ago

Write the equation of a parabola whose directrix is

Mathematics

1 answer:

suter [353]2 years ago

4 0

Answer:

y=0.5x²-4x-10.

Step-by-step explanation:

1) according to the definition of parabola:

d1=d2, then

$2) \ |y+1.5|=\sqrt{(x+4)^2+(y+2.5)^2} ;$

3) after evolution:

-(2y+4)=(x+4)²; ⇔

$y=-\frac{1}{2}x^2-4x-10.$

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