Answer
C
Work Step by Step
$y=x^2-6$ shifted 3 units down
Let $x=0$
$y=x^2-6$
$y=0^2-6$
$y=0-6$
$y=-6$
$(0,-6)$ would be shifted to $(0,-9)$
$y=x^2-b$
$-9=0^2-b$
$-9=0-b$
$b-9=0$
$b=9$
$y=x^2-9$
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