Question

1. $y = \frac{1}{2}(x - 1) + 3$ vertex: ____________

Explanation:

Step1: Identify vertex form

The vertex form of a linear function (here it's a transformed linear function, but the vertex-like shift is clear) is $y = a(x - h) + k$, where $(h,k)$ is the vertex point, and $a$ is the coefficient.

Step2: Match to given equation

For $y = \frac{1}{2}(x - 1) + 3$, we have $h=1$, $k=3$, and $a=\frac{1}{2}$.

Answer:

Vertex: $(1, 3)$
$a = \frac{1}{2}$