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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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
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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