SOLUTION: Write a function k(x) that has the following transformations from the parent function f(x) = x. Do not simplify equation. Vertical compression by a factor of 2/3, vertical shift

Algebra ->  Linear-equations -> SOLUTION: Write a function k(x) that has the following transformations from the parent function f(x) = x. Do not simplify equation. Vertical compression by a factor of 2/3, vertical shift      Log On


   



Question 1199728: Write a function k(x) that has the following transformations from the parent function f(x) = x. Do not simplify equation.
Vertical compression by a factor of 2/3, vertical shift up 1.

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
Write a function k(x) that has the following transformations from the parent function f(x) = x.
Do not simplify equation.
Vertical compression by a factor of 2/3, vertical shift up 1.
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Step 1.  Vertical compression by a factor of 2/3 transforms the parent function f(x) = x
         to function g(x) = %282%2F3%29x.


Step 2.  Vertical shift up 1 transforms function g(x) = %282%2F3%29x
         to function k(x) = %282%2F3%29x+%2B+1.


ANSWER.  k(x) = %282%2F3%29x+%2B+1.

Solved.