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?

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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

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

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We just need to focus on the fact that the

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new graph is F of X plus two minus one

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u C f of X plus two tells us that

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

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

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the negative one moves the graph down by one unit

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

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graph that has a horizontal shift of Tuto left in

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a vertical shift of one down his beat If function

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

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Choose a point on the original graph and see what

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the new function does to it Right So zero one

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

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1 zero one is on the graph of F effect

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

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

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of X plus two minus one there So we get

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F zero plus two minus one which is F of

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two minus one And this means that the point zero

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on the X axis is now mapped Two F of

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two months one on the Y axis Alright looking at

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the original function right there f of two equals one

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while half of two minus one equals one minus one

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which is just zero beautiful Well zero now maps to

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zero in our new function And B is the only

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graph with a function that passes through the origin zero

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zero So that's it be is it