# SAT Math: Transforming Functions on a Graph

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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 Functions Passport to Advanced Math |

Test Prep | SAT Math |

### Transcript

college student right now so that the days of the

would already be way behind us But unfortunately the only

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

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

We just need to focus on the fact that the

new graph is F of X plus two minus one

u C f of X plus two tells us that

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

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

the negative one moves the graph down by one unit

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

graph that has a horizontal shift of Tuto left in

a vertical shift of one down his beat If function

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

Choose a point on the original graph and see what

the new function does to it Right So zero one

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

1 zero one is on the graph of F effect

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

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

of X plus two minus one there So we get

F zero plus two minus one which is F of

two minus one And this means that the point zero

on the X axis is now mapped Two F of

two months one on the Y axis Alright looking at

the original function right there f of two equals one

while half of two minus one equals one minus one

which is just zero beautiful Well zero now maps to

zero in our new function And B is the only

graph with a function that passes through the origin zero

zero So that's it be is it