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)
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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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
So, a=2 , h=-1 , k= 3
So, vertex= (h,k)= (-1,3)
Answer(c): (-1,3)
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