Which table represents a quadratic function?




Table (3) represents the quadratic function because the points making a parabola and the equation of the parabola is y = (3/4)x² - 10 option (3) 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.
We have the tables shown in the picture.
As we know the graph of a quadratic function is a parabola or bowl-shaped.
From the table first plot all the points on the coordinate plane.
= (x, f(x))
We will see it is not a quadratic function, it is a linear function.
From table second:
Plot all the points on the coordinate plane.
= (x, f(x))
It is also a linear function.
From table second:
Plot all the points on the coordinate plane.
= (x, f(x))
Thus, table (3) represents the quadratic function because the points making a parabola and the equation of the parabola is y = (3/4)x² - 10 option (3) is correct.
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