art A:  Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.  f(x) = (x − 8)2  f(x) = (x − 4)2 − 13  f(x) = (x − 4)2 + 3  f(x) = (x − 4)2 + 16 Part B:  Which of the following values "completes the square," or creates a perfect square trinomial, for x2 − 8x + ___?  8  16  −8  −16 Part C

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Part A: 

Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

 f(x) = (x − 8)2

 f(x) = (x − 4)2 − 13 

f(x) = (x − 4)2 + 3

 f(x) = (x − 4)2 + 16

Part B: 

Which of the following values "completes the square," or creates a perfect square trinomial, for x2 − 8x + ___?

 8 

16 

−8 

−16

Part C: 

Determine the vertex of the function f(x) = 3(x − 2)2 + 1.

 (2, 1)

(−2, 1) 

(1, 2) 

(1, −2)

Part D: 

Using the completing-the-square method, find the vertex of the function f(x) = −2x2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point.

 Maximum at (−3, 5) 

Minimum at (−3, 5)

 Maximum at (3, 23)

 Minimum at (3, 23)

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