State the translation of the key point 0 0 for fxsgr6x 3 a 6

State the translation of the key point (0, 0) for f(x)=sgr6-x   -3

a) (6, -3) b) (-6, -3) c) (6, 3) d) (-3, 6) e) (-6, 3) f) None of the above.

Solution

f(x)=(6-x) -3

translation is graph is shifted to left by 6 units and flipped horizontally and shifted downward veritically by 3 units

x coordinate changed from 0 to -(0+6) =-6

y coordinate changed from 0 to 0-3 =-3

b) (-6, -3) is the translation of point (0,0)