Answered

IDNLearn.com: Where your questions meet expert advice and community support. Our experts are ready to provide prompt and detailed answers to any questions you may have.

Please give the step-by-step solution with detailed explanation. 1.) The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f. 2.) The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is: f(x)= x^2 Use function notation to write g in terms of f. 3.) The function g is related to one of the parent functions g(x) = −(x − 2)^3 a.) Identify the parent function f. b.) Use function notation to write g in terms of f. 4.) The function g is related to one of the parent functions g(x) = |x − 1| + 5 a.) Identify the parent function f. b.) Use function notation to write g in terms of f. 5.) The function g is related to one of the parent functions g(x) = 2 √x a.) Identify the parent function f. b.) Use function notation to write g in terms of f.

Sagot :

1. The function [tex]g(x)=x^2+6[/tex] is related to the parent function[tex]f(x) = x^2[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply add 6 to the expression for

[tex]f: g(x) = f(x) + 6\\ = x^2 + 6[/tex]

2. The function [tex]g(x) = x^2 - 3[/tex]  is related to the parent function [tex]f(x) = x^2[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply subtract 3 from the expression for

[tex]f: g(x) = f(x) -3 \\ = x^2 -3[/tex]

3.The function [tex]g(x) = -(x -2)^3[/tex]  is related to the parent function [tex]f(x) = (x - 2)^3[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply negate the expression for f:

[tex]g(x) = -f(x)\\= -(x - 2)^3[/tex]

4. The function  [tex]g(x) = |x -1| + 5[/tex]  is related to the parent function [tex]f(x) = |x - 1|[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply add 5 to the expression for f:

[tex]g(x) = f(x) + 5\\= |x - 1| + 5[/tex]

5. The function [tex]g(x) = 2 \sqrt{x}[/tex]  is related to the parent function [tex]f(x) = \sqrt{x}[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply multiply the expression for f by 2:

[tex]g(x) = 2[/tex] × [tex]f(x)[/tex]

[tex]= 2 \sqrt{x}[/tex]

To learn more about functions, visit:

brainly.com/question/28925980

#SPJ4

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.