Question

Describe how each graph is obtained from the graph of y= f(x).

(a) y = f(x – 2)

Can somebody help telling what does it mean? what does it want us to do? ​

Answer 1

see explanation

Explanation:

Give the graph of y = f(x) then y = f(x + a) represents a horizontal translation of y = f(x)

• If x > 0 then a shift to the left of a units

• If x < 0 then a shift to the right of a units

Thus

y = f(x - 2) is the graph of y = f(x) translated 2 units right