A quadratic function f is given. f(x) = -x² - 4x + 2 (a) Express f in standard form. f(x) = -(x + 2)² +6 (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter (x, y) = (-2,6 (x, y) = (2-√√6,0 (x, y) = (2+√6,0 vertex x-intercepts J y-intercept (x, y) = (0,2 (c) Sketch a graph of f. X X (smaller x-value) (larger x-value)
A quadratic function f is given. f(x) = -x² - 4x + 2 (a) Express f in standard form. f(x) = -(x + 2)² +6 (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter (x, y) = (-2,6 (x, y) = (2-√√6,0 (x, y) = (2+√6,0 vertex x-intercepts J y-intercept (x, y) = (0,2 (c) Sketch a graph of f. X X (smaller x-value) (larger 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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What is wrong with this answer? What is the x intercepts?
![A quadratic function f is given.
f(x) = -x² - 4x + 2
(a) Express fin standard form.
esc
f(x) =
vertex
-(x + 2)² +6
(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)
(x, y) =
-2,6
x-intercepts
1
y-intercept (x, y) =
(x, y) =
(c) Sketch a graph of f.
No
Solution
(x, y) =
F1
@
2
2-√6,0
F2
2+√6,0
(0,2
#3
3
●
80
F3
10
9
8-
7
) (smaller x-value)
) (larger x-value)
$
4
SCOLALG7 3.1.018.
Q
F4
07 2⁰
%
5
10
F5
Clear All
W
Delete
in
Fill
(O
Graph Layers
▸ Vertical Parabola 1
F6
&
F7
7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b47d6bf-f98d-4ae4-a305-ec019a7f62b1%2Faa8dc510-f16b-4d96-9515-daeab81852e7%2Ffculnqq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A quadratic function f is given.
f(x) = -x² - 4x + 2
(a) Express fin standard form.
esc
f(x) =
vertex
-(x + 2)² +6
(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)
(x, y) =
-2,6
x-intercepts
1
y-intercept (x, y) =
(x, y) =
(c) Sketch a graph of f.
No
Solution
(x, y) =
F1
@
2
2-√6,0
F2
2+√6,0
(0,2
#3
3
●
80
F3
10
9
8-
7
) (smaller x-value)
) (larger x-value)
$
4
SCOLALG7 3.1.018.
Q
F4
07 2⁰
%
5
10
F5
Clear All
W
Delete
in
Fill
(O
Graph Layers
▸ Vertical Parabola 1
F6
&
F7
7
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