transforming graphs

[summer.04x]

can someone please explain for 1.b ii) how to do this i attached the answer asw but idk what to do

 

[Steven G]

Please make up a table with x,y pairs for both y=x^3 and for y = x^3 +2. Use the same x values for both functions. What can you say about the y-values?

 

[Dr.Peterson]

can someone please explain for 1.b ii) how to do this i attached the answer asw but idk what to do

For this example, the transformation is a vertical shift, which changes y without changing x. Therefore you can easily find the new y-intercept (by just adding 2 to y); but to find the new x-intercept, you have to actually solve the equation [MATH]x^3+2=0[/MATH].