Question

find $g(2)$.
$g(x)$
(graph of a parabola with x-axis and y-axis, grid lines, and the parabola opening upwards, crossing the x-axis at (1,0) and (3,0), with vertex around (2,-1))
answer

Explanation:

Step1: Understand the task

We need to find the value of \( g(2) \) from the graph of the function \( g(x) \). This means we have to locate \( x = 2 \) on the x - axis and then find the corresponding \( y \) - value (which is \( g(2) \)) on the graph of \( g(x) \).

Step2: Locate \( x = 2 \) on the x - axis

On the given coordinate plane, we find the point where \( x=2 \) on the x - axis. Then we look at the graph of \( g(x) \) at this \( x \) - value.

Step3: Find the corresponding \( y \) - value

From the graph, when we move vertically (along the y - axis direction) from \( x = 2 \) on the x - axis until we meet the graph of \( g(x) \), we can see that the \( y \) - value at \( x = 2 \) is \( - 1 \).

Answer:

\( -1 \)