Rewrite the following in Vertex form: a) f(x) = 2x² - 3x + 4 b) g(x) = c) h(x) = 2x =-2²-²-1 3 5 3x²-2x+2 5 3 d) y - ²/2 = -x² - 7x 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Rewrite the following in Vertex form:
a) f(x) = 2x²-3x+4
2x
b) g(x) = -² -² -1
3 5
c) h(x) =
3x²-2x+2
5
3
d) y - ²/2 = -x² - 7x
-
2
Transcribed Image Text:Rewrite the following in Vertex form: a) f(x) = 2x²-3x+4 2x b) g(x) = -² -² -1 3 5 c) h(x) = 3x²-2x+2 5 3 d) y - ²/2 = -x² - 7x - 2
Expert Solution
Step 1

Vertex form of a quadratic polynomial is

                              f(x)=a(x-h)2+k ,  where a,h,k are constants.

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