Question

select the correct answer.

this table represents a quadratic function.

x	y
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 minimum.

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 maximum.

Explanation:

Step1: Identify vertex

The vertex is at (5, -5) (lowest y-value).

Step2: Determine direction of parabola

Since y-values increase as x moves away from 5, the parabola opens upward.

Step3: Relate to coefficient a

Upward opening means a > 0, so vertex is minimum.

Answer:

C. The value of a is positive, so the vertex is a minimum.