Question

LWhat is the parent function for the following equation:f(x) = (x − 2)(x - 1)

Answer 1

Since the given function is

`f(x)=(x-2)(x-1)`

Multiply the 2 brackets in the right side

`\begin{gathered} f(x)=(x)(x)+(x)(-1)+(-2)(x)+(-2)(-1) \\ f(x)=x^2-x-2x+2 \end{gathered}`

Add the like terms

`\begin{gathered} f(x)=x^2+(-x-2x)+2 \\ f(x)=x^2-3x+2 \end{gathered}`

Since the greatest power of the function is 2, then

The function is a quadratic

The parent quadratic function is

`f(x)=x^2`

The answer is f(x) = x^2