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1. f(x) = 2(x + 1)2 + 3 a) What is the sign of the leading coefficient? b) Does the parabola open upward or downward? c) What is the vertex of the parabola? d) Find the intervals for which f is increasing: Find the intervals for which f is decreasing:

1. f(x) = 2(x + 1)2 + 3 a) What is the sign of the leading coefficient? b) Does the parabola open upward or downward? c) What is the vertex of the parabola? d) Find the intervals for which f is increasing: Find the intervals for which f is decreasing:

Algebra and Trigonometry (6th Edition)
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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1. f(x) = 2(x + 1)2 + 3 a) What is the sign of the leading coefficient? b) Does the parabola open upward or downward? c) What is the vertex of the parabola? d) Find the intervals for which f is increasing: Find the intervals for which f is decreasing:
Transcribed Image Text:1. f(x) = 2(x + 1)2 + 3 a) What is the sign of the leading coefficient? b) Does the parabola open upward or downward? c) What is the vertex of the parabola? d) Find the intervals for which f is increasing: Find the intervals for which f is decreasing:
Expert Solution
Step 1

The leading coefficient is = 2

It is a positive number

Answer(a): Positive

Step 2

b) Since the leading coefficient is positive so it opens upwards. 

c)

Compare these two equations

Algebra homework question answer, step 2, image 1

So, a=2 , h=-1 , k= 3

So, vertex= (h,k)= (-1,3)

Answer(c): (-1,3)

 

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