Who's the the y-value of the vertex of the function f (x) = - (x+8) (x-14)

Question

Mathematics

Gunnar Walls

11 April, 01:23

Who's the the y-value of the vertex of the function f (x) = - (x+8) (x-14)

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Answers (1)

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Serenity Wallace · Answer 1

The required y-value is - 121.

Step-by-step explanation:

There are several ways in which we could approach this problem. From the two binomial factors (x + 8) and (x - 14), we know that the two roots are x = - 8 and x = 14. The axis of symmetry is the vertical line x = 3. This value is halfway between x = - 8 and x = 14.

Substituting x = 3 into f (x) = - (x+8) (x-14) results in f (3) = - (11) (-11) = - 121.

The vertex is at (3, - 121). The required y-value is - 121.