Q-1: Given the function f(x) = y = 2x² - 8x + 9 (a) Use completing the square method to convert the given function into the standard form of a parabola with vertical axis. Show all steps.
Q-1: Given the function f(x) = y = 2x² - 8x + 9 (a) Use completing the square method to convert the given function into the standard form of a parabola with vertical axis. Show all steps.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
This question is 3 parts and part (c) is Graph the parabola, and show all the relevant information found in Part-b of this problem on your graph.
[The Axis of Symmetry must be present in your figure as a broken (or dashed) line]
![Q-1: Given the function f(x) =
y = 2x² - 8x + 9
(a)
Use completing the square
method to convert the given
function into the standard
form of a parabola with vertical
axis. Show all steps.
[Hint: The standard form of a parabola
with vertical axis is: y = a(x - h)² + k, a
#0]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe46c081d-6633-4a7f-8c3e-dcab3c8db7c1%2Fb2aa0a4f-6ab5-435f-b047-858e45eebe08%2Flzmxw6e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q-1: Given the function f(x) =
y = 2x² - 8x + 9
(a)
Use completing the square
method to convert the given
function into the standard
form of a parabola with vertical
axis. Show all steps.
[Hint: The standard form of a parabola
with vertical axis is: y = a(x - h)² + k, a
#0]
![(b)
Using the results of part (a) and
Corollary-1 of the canvas notes
for this section, find each of the
following.
#1. Coordinates of the vertex.
Give the answer as an ordered
pair.
#2 The equation of the axis
[Hint: An equation must have
two distinct sides]
#3. Direction in which the
parabola opens
#4. X- intercepts, if any
#5. Y-intercept](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe46c081d-6633-4a7f-8c3e-dcab3c8db7c1%2Fb2aa0a4f-6ab5-435f-b047-858e45eebe08%2Fds9drp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b)
Using the results of part (a) and
Corollary-1 of the canvas notes
for this section, find each of the
following.
#1. Coordinates of the vertex.
Give the answer as an ordered
pair.
#2 The equation of the axis
[Hint: An equation must have
two distinct sides]
#3. Direction in which the
parabola opens
#4. X- intercepts, if any
#5. Y-intercept
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