Question

Select the correct answer. This table represents a quadratic function. x y 1 3 3 -3 5 -5 7 -3 9 3 Which statement about this function is true? A. The value of a is negative, so the vertex is a maximum. B. The value of a is positive, so the vertex is a maximum. C. The value of a is positive, so the vertex is a minimum. D. The value of a is negative, so the vertex is a minimum. Reset Next

Answer 1

The statement "The value of a is positive, so the vertex is a minimum" is correct.

What is a quadratic function?

Any function of the form $\rm f(x) =ax^2+bx+c$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

The question is incomplete.

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From the table we can find the quadratic function:

f(x) = ax² + bx + c

Plug (x, y) on the above function.

a + b + c = 3 ...(1)

9a + 3b + c = -3 ...(2)

25a + 5b + c = -5 ...(3)

After solving the above equations:

a = 0.5

b = -5

c = 7.5

The value of a is positive.

Thus, the statement "The value of a is positive, so the vertex is a minimum" is correct.

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