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TSI Mathematics Videos 144 videos

TSI Math: Writing the Slope-Intercept Equation of a Graphed Line
97 Views

What is the equation of the line graphed above?

TSI Math: Plugging in Slope and Point to Find the Equation of a Line
12 Views

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: What Happens to a Line's Equation When Its Graph Is Shifted? 6 Views


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Description:

Kendra took the line y = -3x + 2 and shifted it 5 units right and 1 unit up. What is the equation of the resulting line?


Transcript

00:02

Okay smashmouth who's Next up kendra took the line Why

00:05

equals negative three Acts plus 2 and shifted it Five

00:09

units right and one unit up What is the equation

00:12

in the resulting line Well there's one of those double

00:18

duty questions because we have two shifts to perform start

00:22

with the horizontal shift yet to shift a function right

00:25

by h units and well replace acts with the x

00:28

minus h there yet to go left we'd add agents

00:31

dead right We know replace Acts with x minus 5

00:34

being careful with the negative three term there infront what

00:37

we need to multiply all of x minus five by

00:40

negative three not just acts so what does that get

00:43

us Well it's the negative three times quantity x minus

00:45

five plus two is more place out negative three x

00:49

plus fifteen plus two and that's a negative three x

00:52

plus seventeen All right well the shift a function up

00:55

by k units we just add k at the end

00:57

no replacement monkey business So what does that give us

01:00

while we got a negative three x plus seventeen plus

01:02

one that saying to three x plus eighteen therefore the

01:05

new line has the equation Why equal state of three

01:08

x plus eighteen and that's it it's c shmoop

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