Question

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)

Answer 1

i think the answer is (10,800)

Answer 2

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

Explanation:

If a quadratic function is defined as

`y=ax^2+bx+c`

then its vertex is

`(-(b)/(2a),f(-(b)/(2a)))`

The given quadratic function is

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

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

`-(b)/(2a)=-((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.