8) Graph f(x) = 3x² -12x+1 by first completing the square. Then fill in the information below. Write equation in f(x)= a(x-h)² + k form here:
8) Graph f(x) = 3x² -12x+1 by first completing the square. Then fill in the information below. Write equation in f(x)= a(x-h)² + k form here:
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
Graph by first completing the square- then fill in information that is attached.
Show all work and include a check.
Transcribed Image Text:8) Graph f(x) = 3x² −12x+1 by first completing the square. Then fill in the information below.
Write equation in f(x)= a(x-h)² + k form here:
vertex:
in correct (x, y) form
y-intercept
x-intercepts
in correct (x, y) form
range
max or min
axis of symmetry
in correct line equation form
Show all work below. Include the check for both the x-coordinate and the y-coordinate of the vertex.
in correct (x, y) form
(give the exact values - no decimal approximations!)
in interval notation
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To complete the original question asked... how would the check for both x-coordinate and y-coordinate look like?
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