Question

1. The table represents a quadratic function. Write an equation of the function in standard form. X f(x) -4 -3 -2 0 0 1 2 0

Answer 1

The standard form of the quadratic function in this problem is given as follows:

y = -0.25(x² - 4).

How to define the quadratic function?

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

Considering it's roots x' and x'', the definition are given as follows:

y = a(x - x')(x - x'')

In which a is the leading coefficient.

From the table given by the image at the end of the answer, the roots are given as follows:

x' = -2, x'' = 2.

(as they are the values of x for which y = 0).

Then:

y = a(x + 2)(x - 2)

y = a(x² - 4).

When x = 0, y = 1, hence the leading coefficient is given as follows:

1 = -4a

a = -1/4.

a = -0.25.

Hence the equation is of:

y = -0.25(x² - 4).

Missing Information

The table is given by the image shown at the end of the answer.

More can be learned about quadratic functions at brainly.com/question/24737967

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