e) Use the symmetry of the graph to show that the second solution is x = 4. (1)
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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Can someone with E please? Thank you.
![4) The graph of the quadratic function f(x) =(x-2)(x + 8) intersects the y-axis (0, c). The vertex of the
function is (-3,-12.5). The equation has two x values where f(x) = 12 and the first x value is at x = -10
ником
2) Find the value of c.
(((x) = = ( x 2) (x+8)
0,6
f(0) = { (0-1) (018) = T
b) Write down the equation for the axis of symmetry of the graph.
2y = (x+3)² -25
y = {(x-2)(x+8)
2y=x²168-16
c) Write down the x-intercepts of the graph.
P(x)=(x-2)(x+5)
-8
-10
(x+3)² = 2y +25
x+3=9
x=2+x=8
d) Draw the graph of y = f(x) for -10 ≤ x ≤ 4 and -14 ≤ y ≤ 14
e) Use the symmetry of the graph to show that the second solution is x = 4.
C
(2
(4
(1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd86db678-bc86-44fd-bd72-7c276c312ad6%2F970cd103-abbf-4b5c-bfac-95af614fa01b%2Fuyrp49_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4) The graph of the quadratic function f(x) =(x-2)(x + 8) intersects the y-axis (0, c). The vertex of the
function is (-3,-12.5). The equation has two x values where f(x) = 12 and the first x value is at x = -10
ником
2) Find the value of c.
(((x) = = ( x 2) (x+8)
0,6
f(0) = { (0-1) (018) = T
b) Write down the equation for the axis of symmetry of the graph.
2y = (x+3)² -25
y = {(x-2)(x+8)
2y=x²168-16
c) Write down the x-intercepts of the graph.
P(x)=(x-2)(x+5)
-8
-10
(x+3)² = 2y +25
x+3=9
x=2+x=8
d) Draw the graph of y = f(x) for -10 ≤ x ≤ 4 and -14 ≤ y ≤ 14
e) Use the symmetry of the graph to show that the second solution is x = 4.
C
(2
(4
(1)
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