Use the quadratic function f(x)=-5x^2+11x+6 to answer the following questions. a) Use the vertex formula to determine the vertex. The vertex is ((11)/(10),12.05) (Type an ordered pair Simplify your answer.)

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Answer 1

To find the vertex of the quadratic function

, we can use the vertex formula:The x-coordinate of the vertex is given by

, where

is the coefficient of

and

is the coefficient of

.In this case,

and

. Plugging these values into the formula, we get:

To find the y-coordinate of the vertex, we substitute the x-coordinate back into the original function:

Simplifying this expression, we get:

Therefore, the vertex of the quadratic function is

.

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