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Sagot :
Yes. Parabola is possible to write an equation in the form f(x) = (x-a)(x-b)
Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
A parabola can be described in the form of a general equation
[tex]y=ax^{2} +bx+c[/tex], with a, b, c is integers.
The form f(x)=(x-a)(x-b) can be made in other forms :
[tex]y=(x-a)(x-b)[/tex]
[tex]y=x^{2} -bx-ax+ab[/tex]
[tex]y=x^{2} -(b+a)x+ab[/tex]
That form of the equation is the same as : [tex]y=ax^{2} +bx+c[/tex]
With :
a = 1
b = -(b+a)
c = ac
Learn more about Parabola at : https://brainly.com/question/9201543
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