Explanation
Given that
[tex]g(x)=(0,5)[/tex]
And
[tex]f(x)=(0,-2)[/tex]
The two functions show a translation: vertical shift
To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.
The shift here is a downward vertical shift
Therefore, if we are to get the value of k given that
[tex]g(x)=f(x)+k[/tex]
Therefore
[tex]\begin{gathered} k=-2-5=-7 \\ k=-7 \end{gathered}[/tex]
Thus, k = -7
This means that the graph was shifted 7 units downwards
The correct option is
The second option is correct
