a. Use a graphing utility to graph y = 2 x 2 − 82 x + 720 in a standard viewing rectangle. What do you observe? b. Find the coordinates of vertex for the given quadratic function. c. The answer to part (b) is ( 205 , − 120.5 ) . Because the leading coefficient, 2, of the given Function is positive, the vertex is a minimum point on the graph. Use this fact to help Find a viewing rectangle that will give a relatively complete picture of the parabola. With an axis of symmetry at x = 20.5 . the setting for x should extend past this, so try X min = 0 and X min = 30 . The selling for y should include (and probably go below) the y-coordinate of the graph's minimum y -value. so try Y min = 130 . Experiment with Y max until your utility shows the parabola's major features. d. In general, explain how knowing the coordinates of a parabola's vertex can help determine a reasonable viewing rectangle on a graphing utility for obtaining a complete picture of the parabola.
a. Use a graphing utility to graph y = 2 x 2 − 82 x + 720 in a standard viewing rectangle. What do you observe? b. Find the coordinates of vertex for the given quadratic function. c. The answer to part (b) is ( 205 , − 120.5 ) . Because the leading coefficient, 2, of the given Function is positive, the vertex is a minimum point on the graph. Use this fact to help Find a viewing rectangle that will give a relatively complete picture of the parabola. With an axis of symmetry at x = 20.5 . the setting for x should extend past this, so try X min = 0 and X min = 30 . The selling for y should include (and probably go below) the y-coordinate of the graph's minimum y -value. so try Y min = 130 . Experiment with Y max until your utility shows the parabola's major features. d. In general, explain how knowing the coordinates of a parabola's vertex can help determine a reasonable viewing rectangle on a graphing utility for obtaining a complete picture of the parabola.
Solution Summary: The author explains how to graph the function y = 2x2-82x+720 using a graphing utility.
a. Use a graphing utility to graph
y
=
2
x
2
−
82
x
+
720
in a standard viewing rectangle. What do you observe?
b. Find the coordinates of vertex for the given quadratic function.
c. The answer to part (b) is
(
205
,
−
120.5
)
. Because the leading coefficient, 2, of the given Function is positive, the vertex is a minimum point on the graph. Use this fact to help Find a viewing rectangle that will give a relatively complete picture of the parabola. With an axis of symmetry at
x
=
20.5
. the setting for x should extend past this, so try
X
min
=
0
and
X
min
=
30
. The selling for y should include (and probably go below) the y-coordinate of the graph's minimum y-value. so try
Y
min
=
130
. Experiment with Y max until your utility shows the parabola's major features.
d. In general, explain how knowing the coordinates of a parabola's vertex can help determine a reasonable viewing rectangle on a graphing utility for obtaining a complete picture of the parabola.
Directions: Use the table below to answer the following questions and show all work.
Heights of Females
50.0
51.5
53.0
53.5
54.0
1. What is the average female height?
2. What are all the differences from the mean?
3. What is the variance for the female heights?
4. What is the standard deviation of the heights of the females?
5. What does the standard deviation found in number 4 represent? Write your answer in complete sentences.
135 metr uzunlikdagi simni 6:3 nisbatda qismlarga am eating
In circle T with m, angle, S, T, U, equals, 168, degreesm∠STU=168∘ and S, T, equals, 12ST=12, find the area of sector STU. Round to the nearest hundredth.
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