The statement "The value of a is positive, so the vertex is a minimum" is correct.
Any function of the form [tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.
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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.
Learn more about quadratic function here:
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