Given the parent function:
[tex]y=x^3[/tex]
If y is shifted right by 7 units, we obtain:
[tex]Option\text{ D: }y=(x-7)^3[/tex]
If y is compressed horizontally by a factor of 7, we have:
[tex]Option\; E\colon y=(7x)^3=7^3x^3[/tex]
If y is stretched vertically by the factor 7, we obtain:
[tex]\text{Option H: }y=7x^3[/tex]
A shift downwards by 7 units gives:
[tex]\text{Option A: }y=x^3-7[/tex]
