a. The graph of a quadratic function, f ( x ) = a x 2 + b x + c = 0 , is a ___________. b. The parabola defined by f ( x ) = a x 2 + b x + c ( a ≠ 0 ) will open upward if a ________ 0 and will open downward if a ____________ 0. c. If a parabola opens upward, the vertex is the (highest/lowest) point on the graph. If a parabola opens downward, the vertex is the (highest/lowest) point on the graph. d. Given f ( x ) = a ( x − h ) 2 + k ( a ≠ 0 ) , the vertex of the parabola is given by the ordered pair____________. If the parabola opens____________, the value of k is the minimum value of the function. If the parabola opens _____________, the value of k is the maximum value of the function. e. Given f ( x ) = a ( x − h ) 2 + k ( a ≠ 0 ) , the axis of symmetry of the parabola is the vertical line that passes through the _______________. An equation of the axis of symmetry is _________________.
a. The graph of a quadratic function, f ( x ) = a x 2 + b x + c = 0 , is a ___________. b. The parabola defined by f ( x ) = a x 2 + b x + c ( a ≠ 0 ) will open upward if a ________ 0 and will open downward if a ____________ 0. c. If a parabola opens upward, the vertex is the (highest/lowest) point on the graph. If a parabola opens downward, the vertex is the (highest/lowest) point on the graph. d. Given f ( x ) = a ( x − h ) 2 + k ( a ≠ 0 ) , the vertex of the parabola is given by the ordered pair____________. If the parabola opens____________, the value of k is the minimum value of the function. If the parabola opens _____________, the value of k is the maximum value of the function. e. Given f ( x ) = a ( x − h ) 2 + k ( a ≠ 0 ) , the axis of symmetry of the parabola is the vertical line that passes through the _______________. An equation of the axis of symmetry is _________________.
Solution Summary: The author explains that the graphical representation of a quadratic equation is called parabola.
a. The graph of a quadratic function,
f
(
x
)
=
a
x
2
+
b
x
+
c
=
0
, is a ___________.
b. The parabola defined by
f
(
x
)
=
a
x
2
+
b
x
+
c
(
a
≠
0
)
will open upward if a ________ 0 and will open downward if a ____________ 0.
c. If a parabola opens upward, the vertex is the (highest/lowest) point on the graph. If a parabola opens downward, the vertex is the (highest/lowest) point on the graph.
d. Given
f
(
x
)
=
a
(
x
−
h
)
2
+
k
(
a
≠
0
)
, the vertex of the parabola is given by the ordered pair____________. If the parabola opens____________, the value of k is the minimum value of the function. If the parabola opens _____________, the value of k is the maximum value of the function.
e. Given
f
(
x
)
=
a
(
x
−
h
)
2
+
k
(
a
≠
0
)
, the axis of symmetry of the parabola is the vertical line that passes through the _______________. An equation of the axis of symmetry is _________________.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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