Question

question
find ( h(-2) ).
( g(x) = x + 4 )

( x )	( f(x) )
( -5 )	( -8 )
( 1 )	( -8 )
( 0 )	( 9 )
( -9 )	( 0 )

Explanation:

Step1: Understand the problem

We need to find the value of \( h(-2) \) from the graph of the function \( h(x) \). This means we look for the \( y \)-value (output) of the function \( h(x) \) when the \( x \)-value (input) is \( -2 \).

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

On the coordinate plane, we find the vertical line corresponding to \( x = -2 \). Then we find the point where this vertical line intersects the graph of \( h(x) \). The \( y \)-coordinate of this intersection point is the value of \( h(-2) \).

From the graph, when \( x = -2 \), we observe the point on the parabola. By looking at the grid and the shape of the parabola, we can see that the \( y \)-value at \( x = -2 \) is \( 2 \) (we can check the graph: the parabola has a vertex and passes through certain points, and at \( x=-2 \), the height on the \( y \)-axis is 2).

Answer:

\( 2 \)