A parabola has a vertex of (3, 6) and passes through the point (1, 42).
1 answer:
The value of the constant a for the parabola will be equal to a=9
<h3>What is a parabola?</h3>The parabola is an open curve, and a conic section which is produced by the intersection of a right circular cone and a plane parallel to an element of the cone.
Here we have the equation of the parabola:-
f(x)a(x-h)²+k
Since a parabola has a vertex of (3, 6) and passes through the point (1, 42).
By putting the values in the equation we can find the value of a;-
(42)=a(1-3)²+6
4a=42-6
a=36/4
a=9
Hence the value of the constant a for the parabola will be equal to a=9
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