SOLUTION: Please help me with this: Write an equation for a function that has the shape of y=x^3. But is shifted right 4 units and up one unit. Your website says the following when I p

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me with this: Write an equation for a function that has the shape of y=x^3. But is shifted right 4 units and up one unit. Your website says the following when I p      Log On


   

Question 163680: Please help me with this:
Write an equation for a function that has the shape of y=x^3. But is shifted right 4 units and up one unit.
Your website says the following when I put in my question:
"Maximum number of questions per day is 6. This question is number 4. This limitation is so that all people get a chance to ask questions. This is a free site after all. You are supposed todo at least part of your homework."

I'm just comparing answers that I already have because sometimes the answers I received have been wrong, I'm not abusing this system, I have made donations.
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Don't worry the website is just trying to warn you that you're almost out of questions. If you are still stuck, you can ask again tomorrow.


y=x%5E3 Start with the given equation


y=%28x-4%29%5E3 To shift the equation 4 units to the right, simply replace "x" with x-4


y=%28x-4%29%5E3%2B1 To shift the equation 1 unit up, just add 1 to the right side


So let's graph the two equations to compare:


+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%2C+%28x-4%29%5E3%2B1%29+ Graph of y=x%5E3 (red) and y=%28x-4%29%5E3%2B1 (green)


From the graph, we can see that the green graph is simply the red graph but has been shifted 4 units to the right and one unit up. So this verifies the answer.