Question

Find g(x), where g(x) is the translation 12 units left and 5 units down of f(x)=–9(x–3)2+10.

Answer 1

g(x)=-9(x+9)^2+5

Explanation:

Shifting horizontally happens inside the parenthesis, negative meaning right and positive meaning left. Shifting vertically happens outside the parenthesis, negative meaning down and positive meaning up. So, to shift left 12 units, we add 12 to the number inside the parenthesis, -3, resulting in 9. To shift down 5 units, we simply subtract five from the number outside the parenthesis, resulting in 5.