ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

TSI Math: Understanding How Manipulating a Line's Graph Changes the Equation 7 Views


Share It!


Description:

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?


Transcript

00:02

All right say mass shmoop er's got another one coming

00:04

right at you Hunter claims that the effect of replacing

00:08

fx with f of k x is to stretch the

00:11

graph vertically and then reflected over the y axis Which

00:15

example disproves that evil hunters claims What All right Well

00:24

there are all kinds of rules for stretching reflecting and

00:28

sliding a graph turning f of x into f of

00:31

k x means all the exes in the function get

00:34

multiplied by the constant hey which makes all the y

00:38

values grow or shrink like think of k is a

00:41

positive number Negative number of fraction And then what happens

00:44

to in the process Right Well translation The whole graff

00:47

gets smashed or stretched out depending on the value of

00:51

k If the absolute value of k is greater than

00:53

or equal tow one while then the result will be

00:55

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

00:58

function manipulation is known as the gumby effect Okay Not

01:02

really But who do we talk to about making that

01:04

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

01:08

his best friend They were good couple for a long

01:10

time Well all the values of k in these answer

01:13

choices have an absolute value greater than one So yep

01:16

they all get stretched vertically in the reflection over the

01:19

y axis However only happens if k is negative If

01:22

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

01:26

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

Up Next

TSI Writing: Revising a Letter by Adding Transitions
145 Views

Which is the best way to revise and combine sentences 1 and 2?

Related Videos

TSI Writing: Adding a New Sentence to Improve a Letter's Structure
25 Views

Where would the following sentence best be placed?

TSI Writing: Choosing the Best Introductory Transition
18 Views

Which of the following is best to insert at the beginning of sentence 8?

TSI Writing: Shifting a Letter's Structure to Improve the Organzational Flow
8 Views

Which is the best location for sentence 9?

TSI Writing: Choosing the Most Effective Sentence Structure
15 Views

Which of the following sentences is best to insert between sentences 11 and 12?