Algebra Promt

[CarlisleWatson]

Hello! I am new to this forum and came here if I could any help. I have to do this Algebra prompt and I am like totally lost and don't know how to do it, can someone please help me and explain

Prompt:
Consider the Function F(x)=-2x^2 and g(x)=29x-3)^2+4. Use any instructional tool or manipulative to help you answer Both portions below in a paragraph:
A. Describe g(x) as a transformation (parameter changes0 of f(x).
B. Describe the difference in the domain and range of f(x) and g(x).
Also, consider the function k(x)=x+5. Use any instructional tool or manipulative to help you answer both parts below (C and D)
C. Describe g(k(x)) as a transformation of g(x)
D. Describe the difference/similarities in the domain and range of g(x) and g(k(x)).

In your statement about domain and range, identify the domain and the range in interval notation. Use correct grammar, punctuation, and mathematical vocabulary to answer each part. Also, refer to any properties or theorems that would help justify the statements in the description.
The following is a list of suggested terms to consider while you write your paragraphs: vertical/ horizontal shift, vertical/horizontal stretch or compression, and reflection.

Any help would be appreciated as I am completely lost in this subject

 

[HallsofIvy]

Hello! I am new to this forum and came here if I could any help. I have to do this Algebra prompt and I am like totally lost and don't know how to do it, can someone please help me and explain

Prompt:
Consider the Function F(x)=-2x^2 and g(x)=29x-3)^2+4.

You are missing a left parenthesis. Was this (29x- 3)^2+ 4 or 2(x- 3)^3+ 4?

Use any instructional tool or manipulative to help you answer Both portions below in a paragraph:
A. Describe g(x) as a transformation (parameter changes0 of f(x).
B. Describe the difference in the domain and range of f(x) and g(x).
Also, consider the function k(x)=x+5. Use any instructional tool or manipulative to help you answer both parts below (C and D)
C. Describe g(k(x)) as a transformation of g(x)
D. Describe the difference/similarities in the domain and range of g(x) and g(k(x)).

In your statement about domain and range, identify the domain and the range in interval notation. Use correct grammar, punctuation, and mathematical vocabulary to answer each part. Also, refer to any properties or theorems that would help justify the statements in the description.
The following is a list of suggested terms to consider while you write your paragraphs: vertical/ horizontal shift, vertical/horizontal stretch or compression, and reflection.

Any help would be appreciated as I am completely lost in this subject

A change in x before applying the "base function" (here "-2x^2") is a horizontal change. Adding or subtracting shifts the origin, multiplying stretches it horizontally. A change after applying the "base function" is changes the graph vertically.

 

[wjm11]

Hello! I am new to this forum and came here if I could any help. I have to do this Algebra prompt and I am like totally lost and don't know how to do it, can someone please help me and explain

Prompt:
Consider the Function F(x)=-2x^2 and g(x)=29x-3)^2+4. Use any instructional tool or manipulative to help you answer Both portions below in a paragraph:
A. Describe g(x) as a transformation (parameter changes0 of f(x).
B. Describe the difference in the domain and range of f(x) and g(x).
Also, consider the function k(x)=x+5. Use any instructional tool or manipulative to help you answer both parts below (C and D)
C. Describe g(k(x)) as a transformation of g(x)
D. Describe the difference/similarities in the domain and range of g(x) and g(k(x)).

In your statement about domain and range, identify the domain and the range in interval notation. Use correct grammar, punctuation, and mathematical vocabulary to answer each part. Also, refer to any properties or theorems that would help justify the statements in the description.
The following is a list of suggested terms to consider while you write your paragraphs: vertical/ horizontal shift, vertical/horizontal stretch or compression, and reflection.

Any help would be appreciated as I am completely lost in this subject

If you have a graphing calculator, you can graph both functions and note their differences. Also, I'd suggest some reference materials to aid in your understanding:

http://www.purplemath.com/modules/fcntrans.htm