# Video: Identifying the Graph of a Translated Function

Given the graph of π¦ = π(π₯), which of the following is the graph of π¦ = π(π₯ β 3). [A] Graph a [B] Graph b [C] Graph c [D] Graph d.

01:23

### Video Transcript

Given the graph of π¦ equals π of π₯, which of the following is the graph of π¦ equals π of π₯ minus three?

Weβre taking our function and subtracting a constant value of π. And this represents a shift to the right π units. What would shifting our π of π₯ function to the right three units look like?

First, we need to consider our scale. We have an indication at two and a half. Between zero and two and a half, there are five dashes. If we divide two and a half by five, we realise that each mark represents half of a unit. And that means the graph of π of π₯ has a point at two, zero. Itβs half behind two and a half. If our function has a point at two, zero and we need to shift that three units to the right, two plus three equals five, we need graph a.

Graph a has the point five, zero. Graph a is the graph of π of π₯ shifted three places to the right.