Answer :
Answer:
The parent function of f(x) = (x-2) (x-1) is [tex]P(x) = x^2- 3 x + 2[/tex].
Step-by-step explanation:
Here, f(x) = (x-2) (x-1)
Now, parent function of a given function is the function, which is PRODUCT OF ALL IT S FACTORS.
Now, here, f(x) has two factors ( x- 2) and ( x-1)
So, the parent function p(x) of f(x) is given as the product of both the factors.
So, we get:
[tex]P(x) = (x-2) (x-1) \\= x( x-1) -2(x-1)\\=x^2 - x -2x + 2\\= x^2- 3 x + 2\\\implies P(x) = x^2- 3 x + 2[/tex]
Hence, here the parent function of f(x) = (x-2) (x-1) is [tex]P(x) = x^2- 3 x + 2[/tex].