Answer:
y = (x - 5)^2 - 6
Explanation:
If you slide a parabola up or down, that translation will show up in the equation just tacked on to the end of the equation. Down 6 will be a MINUS 6.
A horizontal shift will show up in the equation tucked in close to the x in a set of parenthesis. BUT it will look less intuitive...a right shift will be a MINUS.
Untransformed:
y = x^2
Shift down 6:
y = x^2 - 6
Shift right 5:
y = (x - 5)^2
Down6 AND Right5:
y = (x - 5)^2 - 6