Find equation of a parabola passing through (-4,-7) and directrix parallel to x-axis vertex is (4,-3) - Maths - Conic Sections

Question

Find equation of a parabola passing through (-4,-7) and directrix
parallel to x-axis & vertex is (4,-3)?

Anuradha Sharma · Accepted Answer

Dear Student,    Please find below the solution to the asked query:Here the directrix of the parabola is parallel with the x-axisHence the basic form of the parabola is x2=4ayHere in the equation the vertex 4,-3 is givenSo the equation is x-42=4ay+3And the parabola passes through -4,-7Hence put the values in this equation⇒-4-42=4a-7+3⇒64=-16a⇒a=-4Now the final equation of the parabola is ⇒x-42=-16y+3          AnswerHope this information will clear your doubts about the topic
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Find equation of a parabola passing through (-4,-7) and directrix parallel to x-axis & vertex is (4,-3)?