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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: One of These Parabolas Is Not Like the Others 3 Views
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Description:
Except for one, all of the following parabolas have the same axis of symmetry. Which one is it?
- 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 We got more quadratic ce for
- 00:04
you Here we go Except for one All of the
- 00:07
following paralysis had the same axis of symmetry Which one
- 00:11
is it If the problem's equation is why equals a
- 00:18
x squared plus b x plus c like that's the
Full Transcript
- 00:20
standard format for problem than the access of symmetry of
- 00:23
a parabola is the vertical line x equals negative b
- 00:26
over two a well assuming this isn't a trick question
- 00:30
in the same math test is no time for paranoia
- 00:33
Three of the four parable is shown here need to
- 00:36
have the same access of symmetry so let's calculate the
- 00:39
acts of symmetry for the first two choices we've got
- 00:42
why equals negative three x squared plus for x minus
- 00:46
five that's a nougat y equal six x squared plus
- 00:49
eight x plus seven seven b and well let's just
- 00:51
see what happens if we get the same result We've
- 00:53
found the access of symmetry common tio three of the
- 00:57
answer choices So check the other answer choices until we
- 01:00
stumble on a different answer Yeah we stumble a lot
- 01:02
around here If we get different results then one of
- 01:05
the first to answer choices is the exception to the
- 01:07
norm And that means one of them's The answer Okay
- 01:10
let's do this thing by the first answer choice has
- 01:12
an x Squared coefficient equal to negative three and an
- 01:16
ex coefficient equal toe four So a here is negative
- 01:19
free and b is for In that case we've got
- 01:22
negative b over two A there So that gets us
- 01:24
negative for over two time thing Free or negative for
- 01:28
negative six or just two thirds Right Well the second
- 01:30
answer choices a is six there and b is eight
- 01:34
right there So it's access of symmetry is the formula
- 01:37
and they're going to be over two way So it's
- 01:38
negative eight over twelve equals negative two thirds And what
- 01:44
does that mean Well since we ended up with a
- 01:46
different result compared to the first choice one of these
- 01:48
is the exception So it's compared to the third answer
- 01:51
choice Well a equals fifteen there and b is negative
- 01:55
Twenty and then we've got a little formula here We
- 01:58
can plug ins We get negative twenty over too Two
- 02:00
times fifteen that's thirty and that's Negative of the negative
- 02:04
twenty over thirty or just positive Two thirds Alright this
- 02:07
result matches the first answer choice So the second answer
- 02:10
choice is our exception The answer is b this guy 00:02:13.97 --> [endTime] right here And that's the answer or not
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