iven:
he fucnction is,
![f(x)=(3)/(4)\sqrt[3]{x+1}](https://img.qammunity.org/2023/formulas/mathematics/college/m5xoimnehomra7fbx5pffohmcbjwgycse9.png)
xplanation:
he graph fo the function cnan be obtained by graph of cube root of x.
If we shift the graph of cube root by x by one unit left then then function changed to,
![\sqrt[3]{x+1}](https://img.qammunity.org/2023/formulas/mathematics/college/m2j8jkb6gzl3o4oi1r9vh398v5sij9tt9a.png)
If the obtained graph shrink vertically by a factor of 3/4 then graph changed to function,
![(3)/(4)\sqrt[3]{x+1}](https://img.qammunity.org/2023/formulas/mathematics/college/uh9j6zas62mwuqr012eqd5i60its7qvamp.png)
This is the requied function for which we need the graph.
So graph can be obtained by horizontal shift of 1 unit to left, shrink by a factor of 3/4 and there is no vertical shift and graph will not flip over any axis.
Thus answer is, All statements are true.