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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 32E
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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]
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
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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