# College Algebra

Graph the function using transformations. Show your work and state
a) the domain
b) the range
c) the asymptotes
f(x) = 3 - 1/(x + 4)^2

1. 👍 0
2. 👎 0
3. 👁 310
1. if g(x) = 1/x^2

1/(x+4)^2 is g(x) shifted left 4 units
-1/(x+4)^2 flips it over the y-ais
3 - 1/(x+4)^2 shifts it up 3 units

so, f(x) is 1/x^2 shifted left, reflected, and then shifted up.

Same with the asymptotes, which I am sure you can figure out for 1/x^2.

domain is all reals except x = -4
range is all reals < 3

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra plz help

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

asked by GummyBears on October 20, 2015
2. ### algebra

Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4

asked by lee on February 22, 2013
3. ### Math

How can I find the domain and range of a function from the equation of that function(without using a graph of any kind)? For example, how would I find the domain and range of f(x)=3sin(2x)? Thank you for your help!

asked by Alice on July 13, 2020
4. ### Algebra

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

asked by GummyBears on October 19, 2015
5. ### Algebra

1. Graph the function and identify the domain and range. y=-5x^2 oo=infinite A) Domain: (-oo, oo) Range: [0, oo) B) Domain: (-oo, oo) Range: (-oo, 0] C) Domain: (-oo, oo) Range: (-oo, 0] D) Domain: (-oo, oo) Range: [0, oo) 2. How

asked by Venus on March 26, 2019
1. ### math

1. Provide two examples of a function: (1) as a table of values and (2) as a graph. Explain the definition of a function. Be sure to include mathematical vocabulary in your response. 2. In a paragraph, explain what the domain and

asked by lola on April 29, 2019
2. ### Algebra 1

Graph each function, identify the domain and range, and compare the graph with the graph of y=x^1. 1.y=x^-10 Domain: Range: compare: 2.y=x+3^1+3 Domain: Range: compare: solve and graph.

asked by Natalia on January 13, 2017
3. ### algebra

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two

asked by Wafi on June 4, 2008
4. ### Math

What is the domain and range fro the expentiral function f(x)=-2x4^x-1+3? Domain:all real numbers Range:all real numbers less than 3 Domain:all real numbers Range:all real numbers greater than 3 Domain: all real numbers greater

asked by Jass on March 20, 2017