Question

what is the effect on the graph of the linear parent function, f (x) = x, when f ( x ) is replaced by f (x +5)

Answer 1

When f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.

Explanation:

• We know that when we add a number 'a' to the input of the function, it would move the parent function 'a' units to the left.

In other words, the rule is:

• f(x + a) will shift the parent function 'a units' to the left.

Given the function

`f(x)=x`

Thus, when f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.

• The effect on the graph of the linear parent function is shown in the attached diagram.

In the graph, the red line is representing the parent function f(x) and the blue line is representing the effect on the graph i.e. f(x+5).