The graph of f has r-intercepts at (p,0) and (q.0), and a y-intercept at (0, -10). (a) (i) Write down the value of p and the value of q. (ii) Find the value of a. (b) Find the equation of the axis of symmetry. (c) Find the coordinates of the vertex. The graph of a function g is obtained from the graph of f by a reflection in the y-axis, followed by a translation by the vector The point P(-2,6) on the graph of f is mapped to point Q on the graph of g. (d) Find the coordinates of Q.
The graph of f has r-intercepts at (p,0) and (q.0), and a y-intercept at (0, -10). (a) (i) Write down the value of p and the value of q. (ii) Find the value of a. (b) Find the equation of the axis of symmetry. (c) Find the coordinates of the vertex. The graph of a function g is obtained from the graph of f by a reflection in the y-axis, followed by a translation by the vector The point P(-2,6) on the graph of f is mapped to point Q on the graph of g. (d) Find the coordinates of Q.
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
#4
![ITEM 4:
Let f(r) = a(x+1)(r+5), for r e R, where a e Z. The following diagram shows part of the
graph of f.
10
-10
The graph of f has r-intercepts at (p,0) and (q.0), and a y-intercept at (0, -10).
(a) (i) Write down the value of p and the value of q.
(ii) Find the value of a.
(6]
(b) Find the equation of the axis of symmetry.
[2]
(c) Find the coordinates of the vertex.
[3]
The graph of a function g is obtained from the graph of f by a reflection in the y-axis, followed
by a translation by the vector (). The point P(-2,6) on the graph of f is mapped to point Q
on the graph of g.
(d) Find the coordinates of Q.
[4]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F086c7699-b6ff-4e37-ba45-6f32c74fd46f%2F79545da8-effd-4115-b99f-26a6f6406c58%2F0hwi24w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ITEM 4:
Let f(r) = a(x+1)(r+5), for r e R, where a e Z. The following diagram shows part of the
graph of f.
10
-10
The graph of f has r-intercepts at (p,0) and (q.0), and a y-intercept at (0, -10).
(a) (i) Write down the value of p and the value of q.
(ii) Find the value of a.
(6]
(b) Find the equation of the axis of symmetry.
[2]
(c) Find the coordinates of the vertex.
[3]
The graph of a function g is obtained from the graph of f by a reflection in the y-axis, followed
by a translation by the vector (). The point P(-2,6) on the graph of f is mapped to point Q
on the graph of g.
(d) Find the coordinates of Q.
[4]
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