f(x)=x² + 8x + 15 (a) Express fin standard form. f(x) = X (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y)-(-4,-1 vertex x-intercepts (x, y) = (-5,0 (smaller X-value)
f(x)=x² + 8x + 15 (a) Express fin standard form. f(x) = X (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y)-(-4,-1 vertex x-intercepts (x, y) = (-5,0 (smaller X-value)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Also find the domain and range and what numbers do I need to plot for the graph?
![esc
A quadratic function f is given.
f(x) = x² + 8x + 15
(a) Express fin standard form.
X
(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)
(x, y) =
-4,-1
vertex
x-intercepts
y-intercept
(c) Sketch a graph of f.
No
Solution
Help
Fill
1
(x, y) = -5,0
(x, y)= (-3,0
(x, y) = (0,15
-10-9-8-7 6 5 4 3-2-1
Q
F1
@
2
W
4
10
19.
18
17
6
5
4
3
12
1
-1
-2
F2
-3
-4
-5
-6
-7
-8
-9
-10
(smaller x-value)
(larger x-value)
2 3 4 5 6 7 8 9 10
9 10
#3
80
F3
JU
E
$
4
Graph Layers
F4
After you add an object to the graph you
can use Graph Layers to view and edit
its properties.
R
%
5
F5
1
T
«<<
6
F6
Y
&
7
F7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b47d6bf-f98d-4ae4-a305-ec019a7f62b1%2Fad2b78d5-34c9-48dd-8f64-8bd61f2db115%2Fy387oh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:esc
A quadratic function f is given.
f(x) = x² + 8x + 15
(a) Express fin standard form.
X
(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)
(x, y) =
-4,-1
vertex
x-intercepts
y-intercept
(c) Sketch a graph of f.
No
Solution
Help
Fill
1
(x, y) = -5,0
(x, y)= (-3,0
(x, y) = (0,15
-10-9-8-7 6 5 4 3-2-1
Q
F1
@
2
W
4
10
19.
18
17
6
5
4
3
12
1
-1
-2
F2
-3
-4
-5
-6
-7
-8
-9
-10
(smaller x-value)
(larger x-value)
2 3 4 5 6 7 8 9 10
9 10
#3
80
F3
JU
E
$
4
Graph Layers
F4
After you add an object to the graph you
can use Graph Layers to view and edit
its properties.
R
%
5
F5
1
T
«<<
6
F6
Y
&
7
F7
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