Find g(x), where g(x) is the translation 9 units right and 3 units down of f(x)=x^2. Write your answer in the form a(x–h)^2+k, where a, h, and k are integers.

Question

i got this on my ixl review

Answer 1

The h value corresponds to the horizontal shift. Since this is to the right, the sign would be -

The k value corresponds to the vertical shift. Since this is down, the sign would be -.

There is no vertical shrink or stretch described. So the a value is 1. The final equation is:

g(x) = (x-9)²-3

Answer 2

Also, as a side note to Denise’s explanations, remember (x-h) means a shift to the right even though you are looking at a minus sign there. Lot of student get confused by that.