Practice problem
Given g(x)g(x)g(x) is f(x)f(x)f(x) shifted left 13\frac{1}{3}31 units and down 222 units, and f(x)=(x−1)2f(x)=(x-1)^2f(x)=(x−1)2, what is the equation of g(x)g(x)g(x)?
g(x)=(x+2)2+23g(x)=\left(x+2\right)^2+\frac{2}{3}g(x)=(x+2)2+32
g(x)=(x−2)2−23g(x)=\left(x-2\right)^2-\frac{2}{3}g(x)=(x−2)2−32
g(x)=(x+23)2+2g(x)=\left(x+\frac{2}{3}\right)^2+2g(x)=(x+32)2+2
g(x)=(x−23)2−2g(x)=\left(x-\frac{2}{3}\right)^2-2g(x)=(x−32)2−2
Type a concept, like “slope” or “photosynthesis”.