# TSI Math: Understanding How Manipulating a Line's Graph Changes the Equation

Hunter claims that the effect of replacing f(x) with f(kx) is to stretch the graph vertically and then reflect it over the y-axis. Which example disproves Hunter's claim?

Elementary Algebra and Functions | Linear Equations, Inequalities, and Systems |

Mathematics and Statistics Assessment | Linear Equations, Inequalities, and Systems |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Elementary Algebra and Functions |

TSI Mathematics | Elementary Algebra and Functions |

Test Prep | TSI |

### Transcript

there are all kinds of rules for stretching reflecting and

sliding a graph turning f of x into f of

k x means all the exes in the function get

multiplied by the constant hey which makes all the y

values grow or shrink like think of k is a

positive number Negative number of fraction And then what happens

to in the process Right Well translation The whole graff

gets smashed or stretched out depending on the value of

k If the absolute value of k is greater than

or equal tow one while then the result will be

to stretch the graph vertically That's Why this type of

function manipulation is known as the gumby effect Okay Not

really But who do we talk to about making that

a real thing Here's gumby Yeah fine kid Pokey is

his best friend They were good couple for a long

time Well all the values of k in these answer

choices have an absolute value greater than one So yep

they all get stretched vertically in the reflection over the

y axis However only happens if k is negative If

k is positive three say well The graph isn't reflected

over the y axis So the answer here is d 00:01:29.372 --> [endTime] it's this thing right there Goodbye We're shmoop