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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
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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