ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

TSI Math: What Happens to a Line's Equation When Its Graph Is Shifted? 4 Views


Share It!


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

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?