Find equation of parabola open left vertex (2,1) and passing through (1,3)
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Answer:
The equation of parabola be y+x+k=0
It passes through 2,1
k=−(x+y)=−(2+1)=−3
Solving y+x−3=0 and x=y−1.
We have y=2,x=1
1=
2
a+1
,a=3
2=
2
b+1
,b=0
Focus is (3,0)
Eq is
(x−3)
2
+(y−0)
2
=
1
2
+1
2
x−y+1
Squaring and rearranging the terms we have,
x
2
+y
2
−14x+2y+2xy+17=0
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