Please help -- I know f(x+1) implies a shift to the left but I'm unsure as to if this means I should add or subtract 1 from each x coordinate. Thank you so much in advance!

Please help I know fx1 implies a shift to the left but Im unsure as to if this means I should add or subtract 1 from each x coordinate Thank you so much in adva class=

Respuesta :

The any graph input change any "c" unit so graph move "c" unit is left side so new point is :

[tex]a^{\prime}=a-c[/tex]

Where :

[tex]\begin{gathered} a^{\prime}=\text{ point after transformation} \\ a=\text{ Original point.} \\ c=\text{ input add x line } \end{gathered}[/tex]

new point is change in x axis so new points is:

[tex]y=f(x+1)[/tex]

so the value of "c" is 1 then:

[tex]\begin{gathered} (5,-4) \\ a^{\prime}=5-1 \\ a^{\prime}=4 \\ \text{new point is:} \\ (4,-4) \end{gathered}[/tex]

Similarly

[tex]\begin{gathered} (4,0) \\ a^{\prime}=4-1=3 \\ (3,0) \end{gathered}[/tex][tex]\begin{gathered} (0,4) \\ a^{\prime}=0-1 \\ (-1,4) \end{gathered}[/tex][tex]\begin{gathered} (-4,5) \\ a^{\prime}=-4-1=-5 \\ (-5,5) \end{gathered}[/tex]