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A graph of a quadratic function is shown below. graph of y equals negative 2 times x squared plus 40 x plus 600 What is the vertex of the parabola shown? (30, 0) (800, 10) (0, 600) (10, 800)

Respuesta :

i think the answer is (10,800)

Answer:

The correct option is 4. The vertex of the parabola is (10,800).

Step-by-step explanation:

If a quadratic function is defined as

[tex]y=ax^2+bx+c[/tex]

then its vertex is

[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]

The given quadratic function is

[tex]f(x)=-2x^2+40x+600[/tex]

Here, a=-2, b=40 c=400.

[tex]-\frac{b}{2a}=-\frac{(40}{2(-2)}=10[/tex]

Substitute x=10 in the given function.

[tex]f(10)=-2(10)^2+40(10)+600=800[/tex]

The vertex of the given function is (10,800). Therefore correct option is 4.

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