sec 7: finding the max/min of a quadratic equation
DESCRIPTION
Homework: Max/Min worksheet. Sec 7: Finding the Max/Min of a Quadratic Equation. Learning Target: I will calculate the maximum or minimum of a quadratic equation and apply it to real-world situations. Quality Core Practice. Give exact solutions. Estimate solutions to the nearest tenth. - PowerPoint PPT PresentationTRANSCRIPT
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Sec 7: Finding the
Max/Min of a
Quadratic Equation
Learning Target: I will calculate the
maximum or minimum of a quadratic
equation and apply it to real-world
situations.
Homework:Max/Min worksheet
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Qual
ity C
ore
Prac
tice
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Solvi
ng
Quad
ratic
Eq
uatio
ns
Prac
tice 1.Give exact solutions.
2.Estimate solutions to the nearest tenth.
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Max/
Min
Form
ula
To find the x-value of a vertex for any quadratic equation in the form , use
the formula:
Think About It:How could you find the y-value if you have the x-value?
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Ex 1
: Fin
ding
a
Verte
x Al
gebr
aica
lly
Find the vertex of the parabola
a.Is this a max or a min?b.Using your graphing
calculator check your answer.
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Ex 2
: Not
the
Real
Wor
ld!!!
A ball is thrown from the top
of a building 80 feet tall with
a velocity of 15 feet/sec modeled by the equation
a.How high will the ball go?b.At what time will the ball
reach it’s maximum height?
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Ex 3
: Us
ing
a Ve
rtex
to G
raph
a Q
uadr
atic
Func
tion
Graph
1.Find the x-value of the vertex.2.Make a table of values
with the vertex in the middle.3.Find the matching y-
values.4.Graph
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HOME
WOR
K Max/Min Worksheet*Hint – be careful about
determining if you want
just the x-value or if you
should go on to find the
y-value.