Which function has the greater maximum value f(x)=-2x^2+8x-1,or g(x), the function in the graph

OPTION C

Step-by-step explanation:

Calculate the x-coordinate of the vertex of the parabola of the function  , with the following formula:

In this case:

Substitute values:

Substitute into the funtion   to find the y-coordinate of the vertex. Then:

Therefore, the maximum value of   is:

As you can see, the y-coordinate of the vertex of the parabola   is less than 7, therefore, you can conclude that the function that has the greater maximum value is:

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step-by-step explanation: