Heeeeellllllllllllllppppppppp

Question

The domain if the function g(x) is -2<x<7. What is the domain of g(x-2)?

-------------

Write a formula and graph the transformations of m(n)=(1/2)n^2

(Just need help with the formulas)

2) y=m(n-3.7)

3) y=m(n+1)

4) y= m(n-17)-159

Answer 1

To find the domain of the new g(x-2) function, all you do is plug in (x-2) where and x is, and solve for x.

 

g(x) has domain -2<x<7

 

g(x-2) has domain -2<x-2<7 which simplifies to 0<x<9 because you add two to all parts of the equation.

 

The same idea used above is used for questions 2-4.

 

m(n)=(1/2)n^2

 

so for y=m(n-3.7) you just plug in (n-3.7) where ever there is an n.

 

2) y=(1/2)(n-3.7)^2

 

3) y = (1/2)(n+1)^2

 

4) y = (1/2)(n-17)^2 - 159