Question

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!

Answer 1

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

`a^(\prime)=a-c`

Where :

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

`y=f(x+1)`

so the value of "c" is 1 then:

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

Similarly

`\begin{gathered} (4,0) \\ a^(\prime)=4-1=3 \\ (3,0) \end{gathered}`
`\begin{gathered} (0,4) \\ a^(\prime)=0-1 \\ (-1,4) \end{gathered}`
`\begin{gathered} (-4,5) \\ a^(\prime)=-4-1=-5 \\ (-5,5) \end{gathered}`