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GED Math 4.2 Graphs and Functions 191 Views
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Description:
GED Math: Graphs and Functions Drill 4, Problem 2. Find the vertex of the parabola.
Transcript
- 00:00
Thank you We sneak in and here's your smoke du
- 00:05
jour Brought to you by parabolas They have an appointment
- 00:08
scheduled with a plastic surgeon so they can do something
- 00:11
about their drooping graph Below shows the roots of a
- 00:14
parabola given that the parabolas equation has an x squared
Full Transcript
- 00:17
term with the coefficient of one select the vertex of
- 00:20
the para boola by clicking the appropriate region of the
- 00:23
graph let's See if we can figure out what's going
- 00:26
on here We've got a graph with two points this
- 00:29
little guy here and little buddy over here and we're
- 00:32
told that they're the roots of a parabola Our mission
- 00:35
way choose to accept it We better passes Test is
- 00:38
to locate the vertex of the rabble of well The
- 00:42
problem makes a big deal out of the fact that
- 00:43
the x squared term has a coefficient of one So
- 00:46
that has to be important somehow First of all the
- 00:48
fact that the coefficient is positive tells us that the
- 00:51
parabola has to open the ports meaning the vertex has
- 00:55
to be below the routes We also know that the
- 00:57
vertex like any vertex will be the same distance from
- 01:00
one root as it is from the other we just
- 01:03
don't know how low it can go How do we
- 01:05
figure that part out Well we use our handy dandy
- 01:08
parabola equation which any time r x squared coefficient is
- 01:12
one is why equals x minus the first ruth times
- 01:16
x minus the second route Well the roots according to
- 01:19
the graph our negative two and four of the equation
- 01:21
and have to be Why equals Acts minus negative 2
- 01:25
times acts minus four or canceling the negative signs get
- 01:28
x plus two times x minus four Now if we
- 01:32
just plug in x equals one to get the matching
- 01:35
why co ordinate we get why equals one plus two
- 01:38
which is three times one minus four is all negative
- 01:42
three and three times thinking of three at least in
- 01:44
california is negative Nine door x is one and our
- 01:47
wise negative nine which means our vertex will be at
- 01:50
point one Negative nine that's about as droopy is droopy
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