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Form a quadratic function that has the following properties:
Zeroes at 1 + sqrt2 and 1 - sqrt2, y-intercept at -4.

Step-by-step explanation:

Quadratic Function

The quadratic function can be expressed in the following form:

Where a is a real number different from 0, and x1, x2 are the roots or zeroes of the function.

From the conditions stated in the problem, we know

x_1=1+\sqrt{2}, \ x_1=1-\sqrt{2}

Substitute in the general formula above:

Operate the indicated product

To find the value of a, we use the y-intercept which is the value of y when x=0, thus

It follows that

Thus, the required quadratic function is

Or, equivalently

a² + b²= c²

24² + 7² = c²

c= 25

answer: what statements

step-by-step explanation if you write the statements down then i could you.