SOLUTION: The graph of y = x^2 + 5x is translated 2 units to the right. Find the equation of the resulting graph. Give your answer in the form y = ax^2 + bx + c.

To translate h units to the RIGHT substitute (x-h) for x.
To translate h units to the LEFT substitute (x+h) for x.

[Notice that the signs seem exactly opposite from what you might think. But
here's the reason:  

We SUBTRACT h units from x so that x will have to be h units LARGER (to the
RIGHT) to produce the same values for y. 

We ADD h units to x so that x will have to be h units SMALLER (to the LEFT) to
produce the same values for y.

We want to shift 2 units RIGHT, so we substitute (x-2) for x into:



like this:



Now, multiply out the (x-2)2, distribute the 5 into the (x-2), and
then collect like terms.  Then it'll be in the form .

Edwin