Question

the function f(x)=x^2 the graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule for g(x)?

Answer 1

Answer:

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

Step-by-step explanation:

f(x)= x^2

When graph is translated 3 units down, then we subtract the number at the end

For moving down we subtract and for moving up we add

so it becomes  $g(x) = x^2 - 3$

When graph is translated 3 units right, then we subtract the number with x

for moving right we subtract

for moving left we add

so equation becomes $g(x) = (x-3)^2 - 3$