Answer:
The first graph
Step-by-step explanation:
From the definition of [tex]h[/tex] we can see that:
[tex]h(2)=-3\cdot 2+2 = -6+2=-4[/tex]
So, we can eliminate the third answer.
Now we can take for example [tex]x=4[/tex]:
From the definition of [tex]h[/tex] we can see that:
[tex]h(4)=\frac{1}{2}\cdot 4-4 = 2-4=-2[/tex]
If we take a look at the two remanining graphs we can see that at the first graph indeed it is h(4)=-2,and on the second graph it is h(4)=-6
So, the correct answer is the first graph
