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TSI Math Videos 144 videos

TSI Math: Writing the Slope-Intercept Equation of a Graphed Line
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What is the equation of the line graphed above?

TSI Math: Plugging in Slope and Point to Find the Equation of a Line
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A line passes through the point (-4, -4) and has a slope of . What is its equation?

TSI Math: Using Intercepts to Find the Slope of a Line
5 Views

Line A has an x-intercept of -4 and a y-intercept of 8. What is its slope?

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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?


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

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