quadratic functions.

Question

f(x)=x^2-6x+9 is shifted 5 units to the right. what is g(x)?

Answer 1

here's another solution...

f(x)=x^2-6x+9

the right side is a perfect square

f(x)=(x-3)^2

shift 5 units to the right means -5 (shift 5 units to the left means +5, just the opposite of what you would think)

g(x)=(x-3-5)^2

g(x)=(x-8)^2

if you do the squarings the answers to my equation and Denise's equation will be the same

Answer 2

To transform this 5 units to the right, you substitute (x-5) in for x. This gives:

g(x)=(x-5)²-6(x-5)+9