Question

Equation of a parabola whose vertex is $(2,-3)$, axis is parallel to the x-axis and latus rectum $8$ is

• A. ${(y+3)}^2=8(x+2)$
• B. ${(y+3)}^2=16(x-2)$
• C. ${(y+3)}^2=8(x-2)$
• D. ${(y+3)}^2=32(x-2)$

Answer 1

The correct option is C ${(y+3)}^2=8(x-2)$

here, $4a=8$

so,

$a=2$

hence, the equation will be

$(y-k{)}^2=4a(x-h)$

$(y-(-3){)}^2=8(x-2)$

$(y+3{)}^2=8(x-2)$