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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: Understanding Points of Intersection 17 Views
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Description:
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 of intersection that the two parabolas could have?
- Test Prep / TSI
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- TSI / TSI Math
- TSI / TSI Mathematics
- TSI Mathematics / Intermediate Algebra and Functions
- Intermediate Algebra and Functions / Quadratic and Other Polynomial Expressions, Equations, and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
Transcript
- 00:02
Okay sy match members is the first of a series
- 00:05
on quadratic ce and other polynomial expressions equations and functions
- 00:09
It's a bit more complex than what we've been doing
- 00:11
but strap yourselves in and it will be fun ish
- 00:15
All right here we go First question Two parabolas Their
Full Transcript
- 00:18
graft in the co ordinate plane problem is a function
- 00:22
in problem Bee is not of functions Remember nata functions
- 00:26
there's got to be a hole in or something undefined
- 00:28
What is the maximum number of points of intersection that
- 00:31
the two parappa lives could have Well all right let's
- 00:36
think about this We're going to draw them and it's
- 00:38
going to look something like this Art will probably a
- 00:41
is a function so it opens either downwards or upwards
- 00:46
like that Problem b isn't cool enough to be in
- 00:49
the function club which means that it's oriented horizontally opening
- 00:53
either to the left or the right that is a
- 00:56
vertical line could pass through it in two places So
- 01:00
they're like there and there And if we look at
- 01:01
our sketch here of the horizontal and vertical ones we
- 01:05
find the greatest possible number of intersection points is four
- 01:09
so they'd be one two three And yet for so 00:01:12.763 --> [endTime] that's it answer is b for
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