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.
Find the Laplace Transform of the function to express it in frequency domain form.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
7
y
6
5
4
3
2
-6-5-4-3-2-1
1+
-2
1 2 3 4 5 6
x + 2y = 8
2x + 4y = 12
The slopes are different, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
O The slopes are the same, and the y-intercepts are the same.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.