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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)

2 Answers

4 votes
i think the answer is (10,800)
User Kilokahn
by
7.2k points
4 votes

Answer:

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.

User Dank
by
8.5k points

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