given to the function f(x)=-4x+2 graph g(x) under the transformation g(x)=f(x-2)

Answer 1

g(x) = f(x-2) = -4(x-2)+2 = -4x+8+2 = -4x+10

graph is f(x) shifted right by 2, which in this case is the same as an upward shift by 8,

same slope, but different y intercept, (0,10) instead of (0,2)

easiest way to graph g(x) is plot the two intercepts and connect them with a straight line

y intercept is (0,10)

x intercept is (5/2,0)= (2.5, 0)

the line is downward sloping, fairly steep, slope=-4