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A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 21, 10, 5, 6, 13.
Which quadratic function is represented by the table?

f(x) = 3x2 + 2x – 5
f(x) = 3x2 – 2x + 5
f(x) = 2x2 + 3x – 5
f(x) = 2x2 – 2x + 5

Respuesta :

Answer:

It's B

Step-by-step explanation:

raphealnwobi

The quadratic function is given by f(x) = 3x² - 2x + 5

Quadratic function

A quadratic function is a polynomial with a degree of 2. It is given by the formula:

f(x) = ax² + bx + c

Where a, b, c are constants.

At point (-2, 21):

21 = a(-2)² + b(-2) + c

4a - 2b + c = 21     (1)

At point (-1, 10):

10 = a(-1)² + b(-1) + c

a - b + c = 10     (2)

At point (0, 5):

5 = a(0)² + b(0) + c

c = 5     (3)

From equation 1, 2 and 3:

a = 3, b = -2 and c = 5

The quadratic function is given by f(x) = 3x² - 2x + 5

Find out more on Quadratic function at: https://brainly.com/question/25841119

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