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  4. The equation of the parabola whose focus is (-3,0) and the directrix is, x+5=0 is:

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Q. The equation of the parabola whose focus is $(-3,0)$ and the directrix is, $x+5=0$ is:

Conic Sections

Solution:

Eq. of the parabola is $\sqrt{(x+3)^2+y^2}=|x+5|$
$x^2+6 x+9+y^2=x^2+25+10 x $
$y^2=4(x+4)$