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TSI Math: Understanding How Manipulating a Line's Graph Changes the Equation 7 Views
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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?
- TSI Math / Elementary Algebra and Functions
- Test Prep / TSI
- Elementary Algebra and Functions / Linear Equations, Inequalities, and Systems
- TSI Mathematics / Elementary Algebra and Functions
- TSI / TSI Math
- Elementary Algebra and Functions / Linear Equations, Inequalities, and Systems
- TSI / TSI Mathematics
- Test Prep / TSI
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
Full Transcript
- 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
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