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Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Part 2 - Find the error(s) and solve the problem correctly.
Express the following in completed square form to find the vertex and the x-intercepts.
f(x) = 3x² + 12x +7
Answer:
Complete the square to find the vertex.
3(x² + 12x) + 7 = 0
3(x² + 12x +36) +7+36=0
3(x+6)²+7+36 = 0
3(x+6)² +29 = 0
vertex = (-6, 29)
Solve for x to get x-intercepts.
3(x+6)² = -29
29
(x+6)²:
3
==
(x+6)= ±1
x = ±
29
3
29
3
- 6
Transcribed Image Text:□ 2. Part 2 - Find the error(s) and solve the problem correctly. Express the following in completed square form to find the vertex and the x-intercepts. f(x) = 3x² + 12x +7 Answer: Complete the square to find the vertex. 3(x² + 12x) + 7 = 0 3(x² + 12x +36) +7+36=0 3(x+6)²+7+36 = 0 3(x+6)² +29 = 0 vertex = (-6, 29) Solve for x to get x-intercepts. 3(x+6)² = -29 29 (x+6)²: 3 == (x+6)= ±1 x = ± 29 3 29 3 - 6
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