A parabola has a vertex of (3, 6) and passes through the point (1, 42).
we can model the parabola using a function in the form of f(x) = a(x - h)2 + k, where a, h,
and k represent real numbers.
find the value for a.

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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A parabola has a vertex of (3, 6) and passes through the point (1, 42). we can model the parabola using a function in the form of f(x) = a(x - h)2 + k, where a, h, and k represent real numbers. find the value for a.

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What is a parabola?

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A parabola has a vertex of (3, 6) and passes through the point (1, 42).
we can model the parabola using a function in the form of f(x) = a(x - h)2 + k, where a, h,
and k represent real numbers.
find the value for a.