Question

1. if $f(x) = (x - 2)^2 + 1$, which point is the vertex of the parabola?

a. $(2,1)$
b. $(2,0)$
c. $(0,1)$
d. $(0,2)$

Explanation:

Step1: Recall vertex form of parabola

The vertex form of a parabola is $f(x) = a(x-h)^2 + k$, where $(h,k)$ is the vertex.

Step2: Match given function to vertex form

For $f(x) = (x-2)^2 + 1$, we identify $h=2$ and $k=1$.

Answer:

a. (2,1)