1 April, 09:00
Write the equation of the parabola with a vertex at (-3,-10) and y-intercept of (0,-1)
1 April, 09:28
y = (x + 3) ^2 - 10.
Vertex form is
y = a (x - b) ^2 + c
Here b = - 3 and c = - 10 so we have
y = a (x + 3) ^2 - 10 where a is some constant.
The y intercept is (0, - 1) so substituting:
-1 = a * 3^2 - 10
-1 + 10 = 9a
9a = 9
a = 1
So the required parabola is (x + 3) ^2 - 10.
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