Mathematics: Agraph 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)

Agraph of a quadratic function is shown below.

ronsosaa

13.03.2022

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

Step-by-step explanation:

If a quadratic function is defined as

y=ax^2+bx+c

then its vertex is

$(-\frac{b}{2a},f(-\frac{b}{2a}))$

The given quadratic function is

f(x)=-2x^2+40x+600

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

$-\frac{b}{2a}=-\frac{(40}{2(-2)}=10$

Substitute x=10 in the given function.

f(10)=-2(10)^2+40(10)+600=800

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

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beccahmaarie

23.03.2023

hmmm i think ph0t0m4th would help

Step-by-step explanation:

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