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

A) The graph of the line becomes steeper.

B) The graph of the line shifts horizontally right 5 units.

C) The graph of the line shifts vertically down 5 units.

D) The graph of the line shifts horizontally left 5 units.

Question

Brady Shannon

Mathematics

20 September, 08:57

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

A) The graph of the line becomes steeper.

B) The graph of the line shifts horizontally right 5 units.

C) The graph of the line shifts vertically down 5 units.

D) The graph of the line shifts horizontally left 5 units.

+5

Answers (2)

Know the Answer?

Brenna · Answer 1

Here are the rules:

F (x + a) shifts a units left.

F (x - a) shifts a units right.

You can see this by taking for example f (x) = x^2 then f (x+5) = (x+5) ^2, if you graph y=x^2 and y = (x+5) ^2, you will see it is shifted 5 units to the right.

Heidi Arroyo · Answer 2

D) The graph of the line shifts horizontally left 5 units.

Adding a number, n, inside of the parenthesis with x would move the parent function n units to the left.