What is the answer please
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Answer:
The matched options to the given problem is below:
Step1: Choose a point on the parabola
Step2: Find the distance from the focus to the point on the parabola.
Step3: Use (x, y).
Find the distance from the point on the parabola to the directrix.
Step4: Set the distance from focus to the point equal to the distance from directrix to the point.
Step5: Square both sides and simplify.
Step6: Write the equation of the parabola.
Step by step Explanation:
Given that the focus (-1,2) and directrix x=5
To find the equation of the parabola:
By using focus directrix property of parabola
Let S be a point and d be line
focus (-1,2) and directrix x=5 respectively
If P is any point on the parabola then p is equidistants from S and d
Focus S=(-1,2), d:x-5=0
Step1: Let P(x,y) be any point on parabola
Step2: Therefore the
Step3: The perpendicular distance from p to d is
Step4: equating (1) and (2)
Step5: squaring on both sides
Step6: Equation of the parabola is