Question

How does the graph of g(x) =

x-5
+2
compare to the graph of the parent function (x) = ?
X
BRE
O g(x) is shifted 5 units left and 2 units up from f(x).
O g(x) is shifted 5 units right and 2 units up from f(x).
g(x) is shifted 5 units left and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units down from f(x).

Answer 1

• g(x)=(x-5)+2

Parent function

• f(x)=x

See

x is decreased by 5

• So graph is shifted 5 units right

y is increased by 2

• So graph is shifted 2 units up

Option B

Answer 2

g(x) is shifted 5 units right and 2 units up

Explanation:

If f(x) = x and g(x) = (x-5) + 2

The g(x) = f(x - 5) + 2

So g(x) is shifted 5 units right and 2 units up