Question

Find the function rule for g(x). The function f(x) = x2 . The graph of g(x) is f(x) translated to the right 8 units and down 7 units. What is the function rule for g(x)?

A. g(x) = (x + 7)2 + 8
B. g(x) = (x + 8)2 + 7
C. g(x) = (x - 7)2 - 8
D. g(x) = (x - 8)2 - 7

Answer 1

f(x)=x^2
Translated to the right 8 units: h(x)=(x-8)^2
and down 7 units: g(x)=(x-8)^2-7

Answer: Option D. g(x)=(x-8)^2-7