Use the zeros and the labeled point to write the quadratic function represented by the graph.​

The quadratic function represented by the graph is .

Step-by-step explanation:

Parabolae are defined by second order polynomials, that is, a polynomial of the form:

(1)

Where:

- Independent variable.

- Dependent variable.

- Coefficients.

By Algebra, we know can calculate the set of all coefficients based on the knowledge of three distinct points. According to the graph, we have the following points: , and , and the resulting system of linear equations is:

(2)

(3)

(4)

The solution of the system of linear equations is:

Hence, the quadratic function represented by the graph is .

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

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step-by-step explanation: