# SAT Math: Transforming Functions on a Graph

Above is the graph of a function f(x). Which of the following graphs represent the function f(x + 2) – 1?

 Product Type SAT Math SAT SAT Math SAT Math Algebra and FunctionsPassport to Advanced Math Test Prep SAT Math

### Transcript

00:21

college student right now so that the days of the

00:23

would already be way behind us But unfortunately the only

00:26

transforming we're doing right now is with a function What

00:29

We don't need to know exactly what Ffx actually is

00:32

We just need to focus on the fact that the

00:34

new graph is F of X plus two minus one

00:37

u C f of X plus two tells us that

00:40

there's a shift of the graft to the left Two

00:43

units after the opposite of what the number's there While

00:47

the negative one moves the graph down by one unit

00:50

we gotta compensate by for one unit They're the only

00:53

graph that has a horizontal shift of Tuto left in

00:56

a vertical shift of one down his beat If function

00:59

transformations aren't easy for you to recall well no worries

01:03

Choose a point on the original graph and see what

01:05

the new function does to it Right So zero one

01:08

has both of our favorite Numbers So let's choose that

01:11

1 zero one is on the graph of F effect

01:13

So let's see what happens to this point After transforming

01:15

it by plugging zero into our new function it's f

01:18

of X plus two minus one there So we get

01:21

F zero plus two minus one which is F of

01:23

two minus one And this means that the point zero

01:26

on the X axis is now mapped Two F of

01:29

two months one on the Y axis Alright looking at

01:32

the original function right there f of two equals one

01:34

while half of two minus one equals one minus one

01:36

which is just zero beautiful Well zero now maps to

01:39

zero in our new function And B is the only

01:42

graph with a function that passes through the origin zero

01:45

zero So that's it be is it