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Two parabolas are graphed in the coordinate plane. Parabola A is a function, and parabola B is not a function. What is the maximum number of points...
Which of the following points is a location where the function f(x) = -2x² + 12x + 54 crosses the horizontal axis?
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
Full Transcript
- 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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