The function [math]f(x)[/math] is translated by vector [math]v[/math] to produce function [math]g(x)[/math]. For example, vector [math]v=(0,2)[/math] translates[math] f(x)[/math] up 2 units to produce [math]g(x)=f(x)+2[/math].

1. Describe the translation of [math]f(x)[/math] if v=(0,-1) verbally and algebraically. Verify your result by adjusting vector v and typing the equation for g(x) in the input bar. 2. Describe the translation of [math]f(x)[/math] if v=(2,0) verbally and algebraically. Verify your result by adjusting vector v and typing the equation for g(x) in the input bar. 3. Describe the translation of [math]f(x)[/math] if v=(-3,1) verbally and algebraically. Verify your result by adjusting vector v and typing the equation for g(x) in the input bar. 4. Describe the translation of [math]f(x)[/math] if v=(1,-4) verbally and algebraically. Verify your result by adjusting vector v and typing the equation for g(x) in the input bar.