Quadratic Functions Questions

Please complete the following questions. Itis important that you show all work you did to solve the problems whenyou submit your work. This includes any calculations, diagrams, orgraphs that helped you solve it.

Writing in Math Use the information onpage 314 to explain how you can find the time a trampolinist spendsabove a certain height. Include a quadratic inequality that describesthe time the performer spends more than 10 feet above the ground, andtwo approaches to solving this quadratic inequality. Page 314 is in the attachment. 306 – 307 / 1100
Mota
interactive Labgebra2.com
y=x+
ain Ideas
analyze quadratic
unctions of the form
i = aix – ) +
Write quadratic
the form
1 = “+R.
un
A family of graphis is a group of graphs
that displays one or more similar
characteristics. The graph of y = x is
called the parent graph of the family of
quadratic functions:
The graphs of other quadratic
functions such as y = x2 + 2 and
y=(x-3) can be found by
transforming the graph of y = x?.
-yex-31
w Vocabulary
Aris of
Analyze Quadratic Functions Fach
function above can be written in the
form y = (x – 2+k, where (), k) is
the vertex of the parabola and x = kis
its axis of symmetry. This is often
referred to as the vertex form of a
Equation
y-xor
y = (x – 0) +
y = x + 2 or
y-ix – 054 + 2
(0,0)
(0, 2)
sor
Kew Vocabulary
ertex form
A
306 – 307 / 1100
transforming the graph of y=x?
Axis of
lii
X=3
Analyze Quadratic Functions Fach
Equation
function above can be written in the
y-xor
form y = (x – 1)? + , where (h, k) is
(0,0)
the vertex of the parabola and x = his
y = (x – 0 + 0
its axis of symmetry. This is often
y=-2 or
(0, 2)
referred to as the vertex form of a
Y = -0° + 2
y-(x-) or
quadratic function
13,0)
Y-3) 10
Recall that a translation slides a figure
without changing its shape or size. As the values of land k change, the
graph of y = (x – 2)2 + k is the graph of y = x translated:
• Th| units left if he is negative or units right if his positive, and
Ikl units up if k is positive or|k| units down if k is negative.
.
ain Ideas
Graph quadratic
nequalities in two
Maria
sohidratic
nequalities in one
Marisble.
314 – 315 / 1100
GET READY for the Lesson
Californian Jennifer Parilla is the only
athlete from the United States to
qualify for and compete in the
Olympic trampoline event.
Suppose the height hat) in fect of a
trampolinist above the ground
during one bounce is modeled by
the quadratic function
k(t) = -16+2 +42+ + 3.75. We can
solve a quadratic inequality to
determine how long this performer
is more than a certain distance above
the ground.
wabula
rotic inequality
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