3.Consider the function g(x) = –3(x+4)² + 3.(a) Find the vertex.(b) Find the r and y-intercepts of the function.(c) Sketch the graph using the information in (a) and (b) and at least 2 more plotpoints.10842-10 -8-6 -4 -22.4.8 10-2-8-104.Use long division (5x³ + 3x² – 2 – 1) ÷ (x² + 1) to determine the quotientq(x) and the remainder r(x) in53 + 3x2 – 2x – 1r(x)+ (x)b =x² +1x² +14.

Since, you have posted multiple question, we will answer first question with 3 subparts. if you…

3. Consider the function g(x) = -3(x+ 4)2 + 3. (a) Find the vertex. (b) Find the r and y-intercepts of the function. (c) Sketch the graph using the information in (a) and (b) and at least 2 more plot points. 10 6. 2 2. -2 -2 -10-8 -6 -4 8 10 -4 -8 -10 4. Use long division (5a + 3x2 – 2x – 1) ÷ (x² + 1) to determine the quotient q(x and the remainder r(x) in 5x3 + 3x2 – 2x - 1 r(x) = q(x) + %3D x2 +1 x2 + 1

3. Consider the function g(x) = -3(x+ 4)2 + 3. (a) Find the vertex. (b) Find the r and y-intercepts of the function. (c) Sketch the graph using the information in (a) and (b) and at least 2 more plot points. 10 6. 2 2. -2 -2 -10-8 -6 -4 8 10 -4 -8 -10 4. Use long division (5a + 3x2 – 2x – 1) ÷ (x² + 1) to determine the quotient q(x and the remainder r(x) in 5x3 + 3x2 – 2x - 1 r(x) = q(x) + %3D x2 +1 x2 + 1

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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Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

3.
Consider the function g(x) = –3(x+4)² + 3.
(a) Find the vertex.
(b) Find the r and y-intercepts of the function.
(c) Sketch the graph using the information in (a) and (b) and at least 2 more plot
points.
10
8
4
2
-10 -8
-6 -4 -2
2.
4.
8 10
-2
-8
-10
4.
Use long division (5x³ + 3x² – 2 – 1) ÷ (x² + 1) to determine the quotient
q(x) and the remainder r(x) in
53 + 3x2 – 2x – 1
r(x)
+ (x)b =
x² +1
x² +1
4.

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