Question 752619: Give the standard form of the equation of the parabola with the given characteristics. Vertex: (-3,1) Focus: (-1,1)
Answer by DSMLMD(16)   (Show Source):
You can put this solution on YOUR website! Vertex (-3,1) and Focus at (-1,1)
Because the y-vertex and y-focus is same, the equation of parabola is:
(y - b)^2 = 4p(x - a)
Vertex:
(-3,1)
(a,b)
Focus Point:
(-1,1)
((p+a),b)
If
b = 1
a = -3
p + a = -1
then,
p + a
-1 = p + -3
2 = p
the parabola equation is:
(y - b)^2 = 4p(x - a)
(y - 1)^2 = 4(2)(x - (-3))
(y - 1)^2 = 8(x + 3)
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