How to find the y coordinate of the vertex of a parabola?

bcmcopiapo97mt

bcmcopiapo97mt

Answered question

2023-02-17

How to find the y coordinate of the vertex of a parabola?

Answer & Explanation

Lexi Marks

Lexi Marks

Beginner2023-02-18Added 5 answers

Given: a parabola equation
If the parabola equation is in the form: f ( x ) = A x 2 + B x + C = 0
The vertex is ( - B 2 A , f ( - B 2 A ) )
Simply evaluate the function using the vertex's x value once you get it.
Example: f ( x ) = 3 x 2 - 2 x - 9
x = - - 2 2 3 = 2 6 = 1 3
f ( 1 3 ) = 3 ( 1 3 ) 2 - 2 1 1 3 - 9
f ( 1 3 ) = 3 1 1 9 - 2 3 - 9
f ( 1 3 ) = 3 9 - 2 3 - 9
f ( 1 3 ) = 1 3 - 2 3 - 9 1 3 3
f ( 1 3 ) = - 1 3 - 27 3 = - 28 3 = - 9 1 3
vertex: ( 1 3 , - 28 3 )

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