Respuesta :
Using the definition of the Vertical shifts of graphs of the function :
"Suppose c>0,
To graph y=f(x)+c, shift the graph of y=f(x) upward c units.
To graph y=f(x)-c, shift the graph of y=f(x) downward c units"
Again we recall the definition of Horizontal shifts of graphs:
" suppose c>0,
the graph y=f(x-c), shift the graph of y=f(x) to the right by c units
the graph y=f(x+c), shift the graph of y=f(x) to the left by c units. "
consider [tex] f(x)=x^3 [/tex] is the parent function.
[tex] h(x)=x^3+8 [/tex] shifts the graph [tex] f(x)=x^3 [/tex] upward by 8 units
[tex] h(x)=x^3-8 [/tex] shifts the graph [tex] f(x)=x^3 [/tex]downward by 8 units
[tex] h(x)=(x+8)^3 [/tex] shifts the graph [tex] f(x)=x^3 [/tex] left by 8 units
[tex] h(x)=(x-8)^3 [/tex] shifts the graph [tex] f(x)=x^3 [/tex] right by 8 units.
