### 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?

Weβre 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. Itβs 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.