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A bakery is collecting data to investigate how changing the price charged for a loaf of bread affects the bakery’s daily profit. The graph shows the data the bakery has collected. Which quadratic function is the best model for the data? y = − 8 ( x + 4 ) 2 + 800 y = − 8 ( x + 4 ) 2 + 800 y = − 8 ( x − 4 ) 2 + 800 y = − 8 ( x − 4 ) 2 + 800 y = − 200 ( x + 4 ) 2 + 800 y = − 200 ( x + 4 ) 2 + 800 y = − 200 ( x − 4 ) 2 + 800

Respuesta :

Considering the vertex of the graph, it is found that the quadratic function that is the best model for the data is given by:

[tex]y = -200(x - 4)^2 + 800[/tex]

What is the equation of a quadratic function given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

Researching the problem on the internet, it is found that the vertex is at point (4,800), hence h = 4 and k = 800.

[tex]y = a(x - 4)^2 + 800[/tex]

It has a value of y = 0 at x = 6, hence:

[tex]0 = a(6 - 4)^2 + 800[/tex]

[tex]a = -200[/tex]

Thus, the model is:

[tex]y = -200(x - 4)^2 + 800[/tex]

More can be learned about quadratic functions at https://brainly.com/question/24737967

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