Write a quadratic function in standard form with zeros 9 and -4.

A quadratic function with zeros 9 and -4 is written in standard form as f(x) = x^2 - 5x - 36, which is derived by expanding the expression (x - 9)(x + 4) = 0. ;

Answered by akriti3545 | 2024-06-18

i f x 1 ​ an d x 2 ​ zeros , t h e n q u a d r a t i c f u n c t i o n f ( x ) = a ( x − x 1 ​ ) ( x − x 2 ​ ) 9 ; − 4 − zeros , t h e n : f ( x ) = a ( x − 9 ) ( x + 4 ) = a ( x 2 + 4 x − 9 x − 36 ) = a ( x 2 − 5 x − 36 ) i f a = 1 t h e n f ( x ) = x 2 − 5 x − 36

Answered by Anonymous | 2024-06-24

To create a quadratic function with roots at 9 and -4, we can write it in factored form as f(x) = (x - 9)(x + 4). Expanding this gives us the standard form f(x) = x² - 5x - 36. This function has the desired zeros at the specified values.
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Answered by Anonymous | 2024-11-04