The parent function of the graph is,
[tex]y=x^2[/tex]The transformed image of the graph is,
[tex]y_1=-x^2-5[/tex]Let us sketch out the graph of both the parent function and the transformed function.
From the image above, the parent function, y=x² was first reflected over the y-axis. Therefore, the transformation resulted into y= -x² .
After that, it was now shifted down by 5 units, which now resulted into
[tex]y=-x^2-5[/tex]Hence, the correct answer is B(Second option), which is the parent function was reflected over the y-axis and shifted downward by 5 units.