Rewrite the equation in vertex form:

\[ y = x^2 - 8x + 13 \]

v er t e x f or m : y = a ( x − p ) 2 + q w h er p = 2 a − b ​ an d q = f ( p ) y = x 2 − 8 x + 13 a = 1 ; b = − 8 ; c = 13 p = 2 ⋅ 1 − ( − 8 ) ​ = 2 8 ​ = 4 q = f ( 4 ) = 4 2 − 8 ⋅ 4 + 13 = 16 − 32 + 13 = − 3 A n s w er : y = ( x − 4 ) 2 − 3

Answered by Anonymous | 2024-06-10

The quadratic equation y = x 2 − 8 x + 13 can be rewritten in vertex form as y = ( x − 4 ) 2 − 3 . This form reveals that the vertex of the parabola is at the point (4, -3). This transformation was made by completing the square in the original equation.
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Answered by Anonymous | 2024-11-02